{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (C) 2016 - 2019 Pinard Liu(liujianping-ok@163.com)\n",
    "\n",
    "https://www.cnblogs.com/pinard\n",
    "\n",
    "Permission given to modify the code as long as you keep this declaration at the top\n",
    "\n",
    "用scikit-learn学习K-Means聚类 https://www.cnblogs.com/pinard/p/6169370.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1bR9zzu+ymWL/y6g1oUwmKuDKpBIW5GIdz/31t48ff5enn44h8jX8M+Dm5i8y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\n73W+s/vGYhu57rp1PProDxg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Tl1IEvGA5WRHpLnKB64F/BXy80H47duwYf9/V1UVXV1eh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\n5f8H0uT/1oW078MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x136aec70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "# X为样本特征，Y为样本簇类别， 共1000个样本，每个样本4个特征，共4个簇，簇中心在[-1,-1], [0,0],[1,1], [2,2]， 簇方差分别为[0.4, 0.2, 0.2]\n",
    "X, y = make_blobs(n_samples=1000, n_features=2, centers=[[-1,-1], [0,0], [1,1], [2,2]], cluster_std=[0.4, 0.2, 0.2, 0.2], \n",
    "                  random_state =9)\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bzcZzI0Yw7bnn6IlUFq4EfgE69etHlapVWZ+aSurq1ew/eJAwi4XcYJCwYJBk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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f8e0d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "y_pred = KMeans(n_clusters=2, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3116.1706763322227"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn import metrics\n",
    "metrics.calinski_harabaz_score(X, y_pred)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VEAlcEJ4hnU7HjRs3UCgU1KtX75ku7f7/ysrKKCkpwc7OjvPnz7Nr7y4szCyY\n8NqE6uQNkJKSQrNWzTD1MSXpaiIerT2w9rQmenM0LT9sSd7OfC6duoSVrRXDzwytHopZ2WA1+Yn5\nqI3VuLm6EXokFEtLSz6d/Sm7T+0i6K1GpF9LJ3prDOOujubcp+dpY96Or774ihFjRhBRGE67b9uS\nG5fLwZcPceLQCYKCgv6yeP07kcAFQXhu5Ofnc+TIEXbv2c3RC0cJGNuAWr18uTT7Mh29OvH5zM+x\nsbPhH2XvVH9IevDlQ4xpMZZevXphbGxMSkoKXl5euLq7MunuBMwcq/7nsaXXNiryKqhM0XH14lWc\nnZ0pLS1l0vRJHDp0CCtrS+bNmU+vXr3+yhD8hkjggiA8dwwGA69PeZ11a9YhSRJde3Rhy49bMTEx\noUHjBjgNcaT5u81Iu5bOjh67uHTmEucvnmfaG9OwrWFDfnIBZSVlTE+dgomtCQA7B+zGLNmc0aNH\n88orr2Bh8feeXQIigQuC8F9cv36d5T8sR5Zlxo4cS9OmTZ9Y2YsXL2bh8oVIksSbk95g4uuTqnvO\n/58sy4SGhpKYmEjjxo0JCAigtLQUg8GAubl59XX37t2j7+C+RIdHY2Flzg8rVxPcOJgGQQ14+dww\n7GvbkXwhmS3dtuPW2I0m7zUm43omZz4/i28nHypKKim6VUT45fDfDOH8HT2L/cAFQfibkGWZbxd8\ni7e/F951vJm3cB5/1Hm6cuUKNX1r0qxVM267xnLHM56uvbpw5syZJ1KXzz//nPc+eY/gOUGELGzK\nh1/9k2Urlv1hvcdMGMOIKSP47ucltO3SljXr1mBqavqb5A3g6elJRFgEJcUl5GblMaD/AOLi4nCu\n74x9bTugagqh2kJNZXIl4R9EErMylhbvhTBo7wCGH38Jl07ONG3ZlMrKyifS1r+SSOCC8IJYvXY1\n3674lg4b2tPhx3Z8u/wb1qxbgyzLvD/jfXzr+9IwpCHbt2+nW6+uSB7QYU47Wn3QkhbvhtB6Tivm\nzJ/D8ePH6dG/B137dGHPngeekvhfzV08l45z2uPXqxZeHTzpvrQrC5cufOC1Fy5c4NDPhxh59RV6\nrO/GsJNDmDJlMhUVFWRnZ3P69Gni4uJ+c49Go6nuzfv4+JB+I53cO3kApF5Jo7ywnMAPG5Cdn41K\npcSn+68HDbs1c6VYV8yhQ4f+VNv+TsRCHkF4Tt28eZNjx45haWnJkCFD2Lp7Ky0/a159OnvzWSFs\n+3Erhw4F5NSFAAAgAElEQVQf4uiFo/Rc3h1tgZYRo0fg3sgdIwc1xta/Hk6gsdZwN/M+g18eTJu5\nrTE2MmLc1HEYDAYGDPjtbn06nQ6dToexsTEPoi3VUvbvByHklyMbDA+8Ni0tDad6jqhN1QDY+9uj\nUCs5ePAgYyeMwa6WPVnxWUx+fTKzP539u/s9PT35+suvebfpu5i7mpGbmEe/H/tQu68fFm4WHB8b\nysmPTjF410C0BVrCvruKlaslhYWFjxbwvyGRwAXhOfTTTz8xeNhg3EJckWSJbxbOpZafH0XJvy4F\nL0ouxkRjyoEjBxi0cwBeHTwBSLmYQsy2W3Sa0oGjbxzjwjcXKckoBb2Mn1dtWswKIfDVqsU/SrWS\nxSsX/yaBz5o9i9mfz0Y2yLTr3I4dm3b87hT2wMBAzn1xHn2FHiMzNadmnmHu53Mf2JagoCDuv55I\n8sUU3Jq5cnXpNRwdHRj3+jh6bu6OV0cvSrNLWRm8gj49+jzwyLIJ4yfQu2dvJk+bTFafTGr39at+\nz8nZicxbmcy1nofCSIFf71qknEj9224R+yhEAheEv1h0dDSr163GYDAw+tXRODo68uHMD7mXdI/W\nIa358P0PUavV1dcXFRXx0oghWNe2AjWkhafj0sAF3xq+/PD5DxSnVq14jF4dw8Z1GzkWeozKkl/H\nezXWGszUZlz+MoyK0kraTmmCdxcvrn1/ndgNt3CqdKi+1qA3oPi3Dx63b9/O4jWLmHRnAqYOphwa\nf4RJ0yeyYc3G37Rp/679dO3VlXNfnEepVvLmlDeZNm3aA9vv5eXFj6t/5NVer1JSVIKXnxfbNm6n\nZZuWeHX0AsDU3hT35u7cvn37D8+cdHV15aMPPqJD1w5YeVhibGPMmRnn+OqTr+jbuy+jJ4zm3Nlz\nKOKVHNp3iBo1ajziv9Tfj5iFIgjPwMWLFzly9Ag21jaMHj26ehrb9evXad+lPYGTGiApJK4vjsDC\nwgLPQTVwa+1G5PdRuMiufPbxZzRr1gyVSsWnn33K1ogtDNzeH0mSuLTwMtdXRdAtqBveXt5ERkUS\ncTOCtLQ0VEYqtMVa1BYq2n7ahsKUIi7MvYi+Uo+9gz3mvuaMODscqPowcaHjEjBAmy9bodQoOTPj\nHGuXraVPnz4ABAQ1wHGYIy3eDQEgOzab/b1+Iik+6YHtrqioQK1W/+Hsk38nyzJlZWWYmpoiyzJu\nnm60nN+cOgP8KUgqZEPIJo4fOE6jRo3+a6y/XvAVpeVljBo2iqEvDX3of6e/E7GdrCD8DWzdtpWJ\n0ydSb3QdCs8W8f3K7wk7H4aFhQVz5s0h5J9NaTq9CQDF6SVkRWTRYW57ALw7eTHXZh6DEwfj4+rD\nsYPHuJd0D8+ONauTokdLD05/epZ9WXvx6+VHVOgNgl5vRK9JPbhz+A7H3z1BaU4Zh6cfRdbLWHta\nUZZbjkktE/ISc9FX6lGqlZTlllFWVMb8b+ZzIvQEer2eDas20KNHDwDOnTvHjYho/L111WdUJl9I\n+Y9b1RoZGT10nCRJqi5LkiT27thLz349OTfjAgXpBXw267P/mrwBQkJC2LVl90M/93kmErggPGXv\nzHiHvjt749HCHYA9A/fx448/MmnSJEpKSzB1/DUBGltrfjf1T1JKvHJxGNt77qRZ66ao1WoSTyZR\nb2hdjMyNuPD1RfQVekZHj8JQqSfmpxg6fNEOSZKoP7weoTNO4tnOlfTwDIxtjCnPLadWT19i995C\nZaRkfdsN+HT3IWJNBAqNgvf++S5rV6xjyJAh1XUIDQ2l/0v9QQH59/JZ1+ZHzJ3NuXMkgY/e++ip\nxK1Jkybcj79PQkICTk5O2NvbP5XnPM9EAheEp6yooAgbb+vq15beFhQUFADwypBXmP7BdCzcLFAo\nJeJ23IFyOPHOz7i3duPK91epM9CfjPAM0m9mUO+ruihUCmLfvcU8h4WgBJWRCiNzIyxczCnLK6Oi\nqJLyvHJMbE24sSkah/oOlBeU0/Gr9jQa2xBtoZa1rdZjamtCZbmOrJvZODd2puNX7Uk4do+cWzmM\nmTCG2rVrExgYCMBnX8+i46L23D+VSE5sDu4t3cmOzsLawppJkyY9tdiZmJhQr169p1b+804kcEF4\nynr26sGJ6T/T/pdNk6LXx7Dwp8UADH1pKEXFRSx4YwGyLPPxWx/TumVrWnVoSeSmKCxrWPLSvsHs\neXUfHb5sR9D4qiEElbGK07POUmdgbSpKK7i2PJzwtREEjGiAd1cvVgWvwX9gba4uvUbtvn7c3hdH\nnYH+AGgsNXh39iJsyVW8Onvi1syNNh+1AsAl2JVVwatBgi69OrN2xTq6d+9OWXk5rnYmdF/SlfNz\nLxKzPQbTcjOuXLyCra3tXxNYQSzkEYSnbcV3KwkwC2RDk82cm3SRdSvX0bhx4+r3x48dT/S1aG5e\nv8nkiZPZs3cP/oNqM+rsCAru5fOtwwISjt5Fofz111VSSpSkF5Nw9C43foxGbarm9KyzzFbPITUs\nlYajA6qSdz8/Eo4mYOFuwY0tN4GqOdkxu25hZGlEwrG7JJ5NQjZUDdukXExBbaJm/PWx+I/zp9+Q\nfhibGVNcVEzotJMkX0zBJciZyiwdi79Z/LffL/tFJ2ahCMLfzLvvv8tF1Xki1kXhFOhIp7kdid5y\nk0sLLtN9SVcUagWHJh+h8etBdJjdjoqSCpY3WEmNtjW4ufUm7+a9zZ3DCex9dT+vnnqFypIKDk0+\nQu6dPEztTCnPr1pgY2xjjLGVhoLEQqxqWGLhZsG9k/dp9mZT6g+ty48dNjFoxwCcAhw5/cEZCs8X\noVApUalUvP/m+8/t7I7nhdjMShCeQ+fOnaNzj85UaCt4M3Va9Y56m7pvITMqC0sPC1IupjLu6hhs\n/WyI2R7LhbkXyUvIR6/TY+FqQUlGCUojJc3fDqHtzNYYdAY2dNlE0tlklBolvt18GLi1P5JC4sQ/\nQrmyrGqoxTXYhXNzzuPQwAEbLxt6LusOQGVZJd9YzadCW/FQUwKFxyemEQrCc6hly5Y0bdqES1cv\nU5RWXJ3AATSWRmTfykFlrGLHwJ2U5Zdj7myGvtKAQqlAaaSkOK0YCxdzSjJKuDj/ErG7YinNLkNf\nqeeN5KkceeMYvt19kBRVucG3hw+xu2/Rb33VXG/7uvbsGLyLoqSi6umC2bE5WNlaieT9NyMSuCD8\njRQWFjJh6gQiwiMwttKwqdsWmkwJJutGFlk3syjNKkOlUfL6zdew9rTia8tv0FcacKznQI/TI8hL\nyGdLr2349PDFoNVzc0cMTaYFc/f4PWz9bDFzNMO5oRORP96g7uA6KNQKri67jpnTr0euKVQKJEmi\nLKOcbZ12YB9gR8yWWyyatwiA7Oxseg/ozd3ku7g6urJ3+14xFv4XeewhFEmSVgM9gUxZln93eqoY\nQhGEh9e1d1cybTNo/kEIh6ce4f7PiSjUCgyVBlTGSpRGSkwdzfDu7IVvTx+299+JJMHEmAlY1bAC\nIPSDkyg1Stp+0prtg3Zh5miKU6AjV5deY8ylUUgKiXVtfiQzKgulkRJLD0uyb2XTeW5HLNwsCP3H\nz9jXs0cXo+fjDz4mKyuLtm3b0rhxY27cuEH7ru1wau1E4MgAYnbGkrD/Lun30//jgh7h0T2r/cDX\nAN2eQDmC8EJLT09ny5Yt7Nu3D61W+7v3KyoqCD0SSo+V3bCqYUnbT1rj3tINpaTAsbYjDccHoq8w\nULNdDaxqWnFw3E/Y+9siKRXk/bKVKkBufC7G1hoArDwsKEotImZnLAVJBcy1m8fy+ivJuZ2LfT17\nFGoF5QXl2HrbcPKj01xacJmG4wIxczLDyd6JkSNH0qlTJ0aMHYFao6Zpm6aUlJYwYHM/avX0pfcP\nPVGYKdi6deszi6Pwq8ceQpFl+YwkSZ6PXxVBeHFFRETQsWsH3Fq4UZJRguUXVpw5ceY3p8WrVCoU\nKgVp19PZN3I/RuZGFGeUYJBk+u/ow41N0dTuW4ueS6s+WPRo4cbGrlswVBrY1m8nQa81JDs2h+Tz\nyTR/N4TbB+IIXxuJXlu1VF6hkjC1MUFSK3ANdsGhnj2JBplRZ19FpVFxaf5lTn9+loJ7hZTlltGk\ncRMKCgro0rMLLeY0p9+A3tzYFM3RN49TWVqJxkIDMiDLGP5gq1jh6Xois1B+SeD7xRCKIDxYyw4t\nsXvZhoZjA5Flmb1D9vNSo6HY29mTnJJMyxYt6datG9PfnM7K9StoPKkx7T9ri0FnYK7tPGx8bMiM\nzCTkraZ0mtsRqOpprw5Zi8ZKg5mDGenhGciSjFd7T/Li8lAaqyjLL0OlVjF0/2Ds69hz4LWfUKqV\n3D91n8KkQlrOaEGrD1oCkHc3nx+aruHtzDeoKK5gc7utjO41hvUH1zPiyvDqtiysuQQbHxuaTg0m\ndtct7h66R/r99N/8MQI4ffo0M2bOoKCwgP69+zPznzNRKpXPLObPu7/NLJSZM2dWf9+uXTvatWv3\nLB4rCH8bqampNAipWhIuSRIOTRxYtnwZJl7GODd3YtG4RXRp1RlL66px7H/tZ61QKVCbqfHv70fv\nH3qyofMm3Jq7Ye1lzfG3TxA4MoC7offJuZ3LS/sGkxmVxY1N0TR/L4TQGScJeasp2sIKfmi6BpBw\nb+lGRXEF5q4WVBRXELXhBk2mBGNkYUT46gicAh2RJAmNhQbfgT6sX7Oe/KJ8ygvKMbYypiy3jIri\nCnJu5XDo9SN4unkSGRb5u+QdFRVFn4F96LC4HbU9a7H5vU2UlZXxzZxvnmncnycnT57k5MmTj3SP\n6IELwjMwYswIYuRouq3sSmlOKeuabsDYWsOY61UfKhYmF7LY63vUGjUKUwV1B9ah+/ddKc4oZqH7\nEj6seB9JIRG16QaHJx/Bws0Cvz5+tPmkFd/5LUObX465qwXenb0wtjUhbHEY3RZ3pcHwqj8ap2ed\nIf9+ARVFFaRcTEFbVEHvH3oSsTaSe6H3MbbWoC2soOkbTWg/qy06rY71bTeQfyefBnUCSMxJxLWt\nC7f334ZKCQ9XD0IPh+Lo6PjA9n4661OOlRyhw1dVuyrmxOWyq9Me0u6nPbOYP+/+Nj1wQfhft2T+\nEgYNH8Rci3no9XpcnF0xcdNUz8W2cLVAUkgoTCTcQ9xIu5rGfNdFaAu0KFQKMqIycQ50os5Af45M\nO4a5izkO9R3Y0nsbZdll9FnbCzt/O37+8BTy3Xx05TpSLqXg18sXjaUGMycz8u8W0PnbTiz1X07n\nbztSZ4A/dQb4E7E+ksPTjuLYwIHwVRHc2n27apze3YJ6w+sSuS6S7xZ8R05ODlafWNGsWTP8/f1/\nc8jE/2dibII2uaL6dXluGRqN5qnH+X/NYydwSZI2A20BO0mSkoCPZVle89g1E4QXiJWVFYf2HqJp\n01bcvFlKcpITquxTRG+7iVszNy58cxGVsRL3EHcCXm1A7X5+fOe7jM4rO6JQKdjYeTM129Ug7Wo6\nOq2O1CtppIalUVlaSaPxDak7uA4AvVf1YGGNJTQcE0hefB4rGq7Cro4dyedTsPa0Inb3LdSmKjKj\ns9EWadFYaFAZq5AkiRGhL2OoNJAensHB136i49ft8e7kDQaIT4jn81mfP3R7X331VeYFf8vxt0Ox\n8rLkyjfX+PLjL59WeP9nPYlZKMOeREUE4UV36dIl4uJS0GrHAAp0ZVHsemk/YEBSGCNLMvZ17Lm5\nPYaC+wWU5ZaScyuH5u+G8Erd4ewcvJuSjBKCXmtEjTYeXPn+GomnEynNKK1+RnF6CRpLDT2+r5rZ\nu2PILjJvZDHqzAjSrmdwaOJhFCoFdw7FE705mnpD6xC+OhKDzkDOrVycAhzxaOmOkbkRUPW/A1Nn\nM0rzS3/foP/A2dmZKxevMn/RfPJv5LNmyVR69er1hCIp/IsYQhGEP0Gv1yPLMirVw/8KVVRUoFAY\nU7X8IgEoBCYCNsiGQ0AspdmlpFxKJS8ujy7zO3Mv9D4bOm7ipf2DKUwtxKGuPV3mdQLAp4s3X1l9\nQ+rVNPaPPYidvx0X5l6kydTg6mc6NnDE0t0Sx/qOFKUWY+pgyvhrYzCxMeHyojBOzPiZei/VwcjC\niLWt1tP6o1bk380n704+Ko2SW/tuE74ogi/2PHrv2d3dnW+//vaR7xMenkjggvAIZFnmzTff5bvv\nFiPLMgMHDmb9+tUPNb7btGlTzM0rKSk5hV6fDzQC/nXKTDsggqiNsSDreD1qPBoLDQ3HBLK8wSqW\n1V6Jxvz/ndYjVX25NnUhLyGP6K3RyDKkX0unJLOEwuQiLi+4TNdFXQDIic3Bu5MnJjZVe6vkJeQR\n9Fojus7vDIBLYxeOvnUcuVKmQ9sOXJwShpmZGRtWb6B58+ZcuXKFo0ePYm1tzYgRI6rP9RT+OmI/\ncEF4BEuXLmPlyh3odNPR699h//5wPvjg4Y4UMzMz4+LFM3TtaoWDQwaQAvxrAUwqoMBQMQ6FUoXa\npOoDQkmSsLK3ZOYHMzGVTMmJzeXIm8e4vT+OlY1+QELizqEEUsPSqNWzFl4dPTG2Nub72svZ1nc7\nFSWVnPhHKBe+vcTt/XHEH06gLLcMgIzITOxr21XXz8bHBmRwDHTgeOgxBvYaSOsWrZn+3nRqB/jR\nvnN7DuYdYNmJpTRp0YSioqLftM9gMJCdnY1er3/MKAsPS2wnKwiPoG/fwezbpwMa/vKTu9Svf4Oo\nqCuPVI5WqyUkpA03bqSi01kCcVTtSBGE2nQjtXqqafZmExJPJhGz/Baff/I5k96YiFtzNwpTCsm/\nV4BSrWT8tTFYe1pzcd4lTn16Bo25Ea9Hv4axtTFpV9PY0Gkzbs1cyIrJwTXYhdQraZTllGHmaEZx\nejHG1sYM++klNFYadg7ZjamDCcN/GsqdownsGLgL71ZetJ7Tity4XA5OOMTI0yNwrOfAnkH7eK3d\nBKZMmQLAlStX6D2gN0VFRagUKjb9uKn6MGThzxHTCAXhCatRww21+jKVlVWvFYp03NxcH7kcjUbD\npUtn2L9/PxkZGXz44cfk5yuBSipLa3Pv6CkUCQq8PL1ZvXw1fQf0pfZgP3y6efPT64dRqhT49fbF\n2rPqrM0mU4M59s4JZIPMd7WW4RLsTNLZZLw6e9J/Y19+/vAUV5dfQ2Opoc+anmgLKzj50WmMbTRs\n67cDfYUer06epFxOBcCzfU0MOgNdV3XB0s0C50Anks4mE38wHsd6DljVsiQ3Lxeo+mPUs19P2ixs\nRZ2B/iRfSGZ4n+HcjLiJq+ujx0Z4eCKBC8Ij+PjjD9m9uykFBduRZTVqdQqLFp39U2UZGRkxcOBA\nAFq1asWAAUO5d+8gnp6+7Np1joCAAAAWL16Mbe2qrWCPTD3KyDMjKEws5MQ/Qqksq0Rtoub+yUQs\nXMxRqJU0fzekajOsT1tzYPwhvjL/BpWxEpWxii7zOlF3cF2g6kSekx+dZtq9yQCkh2ewfeBOAK58\ndxVJJVGSWYKlW9VYd0FiASZ2xiSeTeLGmpt8s3ceAElJSaCWq8/cdG/ujkuAMzdu3BAJ/CkTCVwQ\nHoGDgwM3b0Zw4MABdDodXbt2xcnJ6bHLDQgIID7+5gPfs7GxQSkpCV8TgWMDR5waOOJY34GYHbEs\n8V2Kvb8dKZdTeWnvYK6vCqcko5gmk6vO3KzZxgOlRoHKRE1mRCYlmSXV5ZZmllKUUsjV5dew9LDk\nyPRjFKcXM8d8LgadHpDY2ns7zd5sSu7tXO4eu0fy8RQS1t1jxZIVNGvWDABHR0dKckvJicvFrpYt\npTmlZNzMwN3d/bHjIvxnYgxcEP7mysvLadGuBcn5yRSkFTAp9nUsXMxJC09ndbO1KBQKXjkxDI8W\nHiSeS2JD5004BzihrzRQnl/O6POvYmpnygL3xWgLtTR/pxkKlYKwxVcwd7dAbaIiLz4fKw9LgiY2\n4vqKcHRlOhqODeTsl+er54bf3XOfTUs20apVq9/VceUPK3nvw/eo2bIGyWEpvDbqNb6Y9cVfEK0X\nhzgTUxBeEGVlZaxfv57de3dzPuw8LvWdSQlP5dXhr3Li1AnMgkywb+TAxW8vIhuqTq3XFmrx6erN\ngM39UCgVrG62luI7JShtFbgEu2DmaEbMjliCJwcRvjqSybdeR1JIVBRXMN91EVPvTqIwqYjNPbYS\nNKYRyTtSuHH9BiYmJg+sY0xMDFFRUXh7exMcHPzAa4SHJxK4IDxHzp49S1hYGDVr1qRfv34oFA+e\n5Xv79m3u3r1L3bp18fDwoKCggEWLF7HguwUYuarx7uxNhy/boSvX8WPHTfh09sLUwZTQ939m2sTp\nbArdCEooziihJL0ESQL3Rh6MuFC1ZaxBb2Ce00ImRI1H1htY6r+CXr17seibRbi5uT3LkPxPEwlc\nEB5SSUkJW7ZsITc3F19fX+rWrUutWrX+MIk+ad9+O4+PP/4Snc4PtTqFTp2asHv3tkc6RDiwaSCJ\nOYkM2T0Ip4CqXQIvLwrj53+eQlJIfPKPTxg6dCiNmzWm+axmVSs3P71E+zrtOXzkML4jvfHsXJOw\nJVfJis6i1w89OfvBOdrWasfMD2eyfMVyikuLGdB3AC1atHhaoRB+IRK4IDyEkpISgoJCSEqqpKws\nA6hEozGiSZNGHD164A+HDJ6UsrIyrKxsqax8HbAGdJiZ/cDhw9seON78R7bv2M6oCaMInhpE25lt\n0Ffo2dxzK7V6VU03vP5hBLdv3CY8PJz3P3mfzKxM2rdsz5ezv+T8+fP0HdIXnaxDr9VjZ2eHhaU5\nPbv1YurEqYS0DqFmnxqYOpsQ/l0k61eup3fv3k8tJoKYBy4IlJWVER8fj4ODA87Ozg+8Zu3atSQl\nQVmZJWAK9EarlblyZS+ffTabL754+F34/oyCggKUSiMqK61++YkKpdKe7OzsRypn8KDBVFZUMvnN\nydzcFEN5sRbXJi4ET2qMtkDLoZQjADRs2JB+Pfvx1ttvcSfuDrv37cbUzJSWHzcneEpjSnNK2dRy\nCwu+Wki3bt346JOPqNm3Bl2X/LLkPtiFDz/+UCTwvwGxlF54YUVGRuLh4U3Llt3x9KzFxx9/+sDr\nsrOzKS+3AbKA+lT9WigpL/fjypWI/2PvvMOjKLc//pntu+mBJAQSepMWQpHeFBCkCYJKURAUEMWO\nHcWLYrs/ufaGCihFpKggRaR3pAgCoQRCr4HU3WTr+f3xTgJcFVDAa5nP8+wDuzPzzruT5MyZ837P\nOVd9nvHx8ZQuXRqTaTXgA/YQCh2iYcOGv3msPn36cHT/UUY98DxWzcoNb7TDZDGx/v9+oGFjNd6m\nTZt4atRTDPxxAA+cuo/qD1Rl5/ad1LpdNX9wlXBRoVMFtm7dCkC+O5+w0mc7zoeXDic/P/+yv7fB\n5WMYcIO/DXPnziUhIQmbzUHz5tfRqdNNnD7dmLy8u/F6h/L66++yfPnynx3Xtm1bnM5tKO87DdWp\nN4TDkU7durWu+rxNJhOLFs2jdu1szOZXSUxcyZw5X/3uBUOn08m9997L0yOe5sMaH/PviLF4lhXy\n+SefA7Bx40Yqd6hEbKUYAOoPrYfZZmbPnHQAfG4fhxYfpkqVKgD06NaDH9/ayr6FGZz46SSL719K\nrx69rsA3N7hsROSqvtQpDAyuDHl5edKrVx+Jjo6T8uWryYIFC0REJC0tTZzOSIHrBTqJ2ZwqYBMY\nLnCtQIpYrVXknXfeOW+8xYsXy6uvvir33nufREaWEE2zi9kcK2FhCdKwYVPJz8//TfN76623pUSJ\nRImMLCH33nu/+P3+K/bdfw8+n0+ys7PP+2zBggVSukZpecI9QkbKU3LHsn4SXSJaSiaWlEpNKkmJ\npBJy5+A7JRQKFR8zY8YMqZFaQ8pVLScjnhzxP/9e/wR023lB+2osYhr8pejWrScLFuzD620FnMLl\nmsP69atYtWoV99zzNKGQGYgH9gIewAk0QC0OLsFiCRIdHUPHjjdQqVIFXn31LXy+qtjtR2ndOoWZ\nM7/gp59+YtGiRWzcuJWEhDieeGLEJaWEz5o1i379huLx9ADsuFxzuf/+W3jppasbQ/+tiAgDhwxk\n7qK5xNeI59DaQ3zx+Rc0atSIrVu3UqJECWrUqPGbFDAGVx5DhWLwt0BEWL9+PTk5OXTu3A2//wGU\nYQb4hpiYg3To0I4pU74HhgJm4BAwAagDdNX3PQx8qW+3AyeAB4AolPLjE+bP/4K1a9czcuQrFBam\nYDLl4XKlMWjQnbRu3Ypu3bqRk5PDvn37cLlcBINBKlasiNPppG/fAUyenAkUxa4PUaXKOnbv/umP\nuEy/CRFh3bp1HD9+nPr165OcnPy/npLBf2GoUAz+lOzcuZOvvvoKu91O3759f7WzOajON1273syy\nZeuwWKIJBEIo77oWKladR1ZWRaZPnwlUQxlngNJAEE1zctZ/sAOFqKWffFQt7s+BHkAibreVTz/9\nlAkTJhEMmoAVhEKQnx/HG29s5p13PqdLl0l8991CAgEnXm8mdns4LpeNBQvmEBcXi8WSTiBQdL4z\nxMTEXMErd+XQNI3GjRv/r6dhcJkYHrjBH8qaNWto164jXm9NzGYvERFH2bJlw6+GKCZMmMC9976A\n230byt/4EU1bgEhDIBM4DQzCYvmYQCAbGAjEAcsoVSqD3NwcPJ42KC97AcqwpwEdgRrAduB74Abg\na5RxDwK3owz8N8B9qBuDG/g/oC9QST//J0Ab4uI2s2nTOlJTG5KXV4ZAwI7DsZ2FC+fRpEmTK3wV\nDf4JGB64wZ+OBx98HLf7OiCFQAACge947bX/Y+zYX+6duG/fPtzu0pz9Va2E3W7G612JSB3gTsBC\nKFQA1EMZVD9gJzMzREJCaWJitnLkyFGgOVAO1f2mjj5eCrAE+ApohQrNrNf3mw6Ec9ard+nzKHpi\nKAkkADFkZ58hIiKC7du3MGnSJLxeLzfd9DHVq1e//ItmYPArGAbc4A8lKysLqFr8PhiM5tSpM7+6\nf3yVOrsAACAASURBVL169QgLG4fb3QhwoWmLKSz0ojzpdGA8LlckVquDnJwY4HpgOdCAQOA4R45k\n4nAEMZkChEL1AC+QAxSgjLUH5VnXBVoAWcAiIA/V8swL/AiURxl2gGwgAjiDiqO7cTpdREZGomka\nDz300OVfKAODS8Aw4AZ/KD16dOWtt77E4+kEFOJybeDmm9//1f27du3KPfes4c0338RkslNY6AFu\nBqoDfjTtA5o0Kcu2bW5ychahOv02RRljgM8oLIyicmUfR45MoqCgur7Pu6gbyT4gFsjQ949BhVbe\nQYVTrgc2oIy6DagATEYZ/zwcjhgslqXMmjXdUG0Y/OEYMXCDP5RAIMADDzzM559Pxmq18dxzTzN8\n+L0XPS4rK4tPP/2URx4ZATyB8j1WAJtQC5NBoBtqoXIByojXR8W13dx5Z0uaNLmW+fMXsHTpUs6c\niQCuQcXLk4ExnJUbrkQZ+QJ9vFYor30bcLe+7Q0gSLNmzUhOTub1118nMTHxilwjAwMwZIQGfzO+\n/fZbunS5BZFmqNDHQaAtKuwxD7gLZZD3ojzmFsBMwExqam22bv0J1TA9gIpd34Ey9hn6eF6gBMq7\nDgCnMZvtBINVgB1AbZTnvw44iQq9VAMKsFiOs2XLD7z77gf8+OM2UlNrM2bMaCIiIq7+hTH4W2IY\ncIO/LBkZGYwZ8zJ79+7l+uvb8NBDD9GtW08WL15JKORHedz3oMIfoAx4GNAS2AXMQskMG6GM8wFg\nEMqjng9sBhwo77sVcAyYjVqwvAFlwL+naEFUfTYfFUZJQXn+16G8doCvCQ/PwO+vhNdbBbt9N7Vq\n2Vi3biVmc9EiqIHBpWOoUAz+kuzbt4/atevh8dQAnCxZMpo33ngLtzuSUOhBVAjj/1AecxEFqEXF\nDZw1vPEo5cli1CKlQ9/XivrVzwNu0t/Howz/MeA4ysDbKKqLouSEFpR33lY/z7nVDUvjdqch0gkw\n4fVWZefO90lLS6NWratfT8Xgn4lhwA3+NOTl5bFv3z7eeutdPJ5aQDt9S0lOnZoD1OSspK8hajGx\nFUoLvheIRClQ6qEWItegjHckymMW1CLkOlTG5jso7zxK35aLSvA5gvrT6IDyutuibgD7gKmosIsL\nJT+8BRWDX4XZbD4niUdhLGwaXE0u24BrmtYB+A/qL2uciLxy2bMy+FuzefNmHn30KU6fPkPPnt14\n8snHWbVqFZ07dwdcuN2ZQOtzjggHTJhMPxAKOYBUTKY8TCY/gcAClIdc5ClrqJj4NJSxTtc/D0ct\nRE5EeecRQBXgY1SY5Qgqrl0UljmO0pTbgFR9HpVQ2u9dqHDNceBlwESFChXJy/OQmzsbn68advtu\nqlevZOjADa4ql2XANU0zA2+jXJQjwA+apn0jImlXYnIGfz/27t1Ly5bXk5/fFKjOnj0fc/r0GT79\ndDx5eTcClYEtqJh2SVTI4lvAi0gq8BOwiFBICIUaA21QdbzHoWpp34sywG7Ur6aGWpi8U/9/CqpG\nynQgCeW9L9W3xXM2pl4KZbwLULrvaJSnnYWKj2so792ExWIlIyMJ8GGxbKJuXTstWrRkzJjRRvzb\n4KpyuR74tUC6iOwH0DRtKkrLZRjwq0wgECAYDGK326/IeGfOnGH16tWMHzeOzRs2EBcfzxvvvUej\nRo2uyPhFzJw5E6+3GkUFnzyeGD7++FP8/gDKeAOk4HBsJBj8Gr/fh1qw7I9IMsrT/hjlL7TirOGN\nRhntIgMchgqNxKEMcVEoo6Q+3gH9fTgqFp6CStg5gVKo7EbF2CP081VCqV40lD48FSVVPEwgMBml\nUIklEHBRtWo8b7459oLXobCwEIfDccF9DAwuxuU2dCiDKvtWxGH9M4OrhIjw1OOPE+Z0EhEWRpcO\nHXC73Zc15ubNm6lWqRJ3dO/O1q+/pv2RI5TZvJkO11/Pvn37rtDMFRaLBZMpeM4nfiwWKxaLCdiv\nf5aLyZTPxo2r8Pvz9W1F6esayju2oow4+r+5+rYi3+EgalGzEOW1H0B50/NRqpLWQB9gAKowVgbq\n5vAJMJazHroXdaNIRkkI7agbQDPUn09Zfb9PUUY/jPz8X/95bNy4kcTEsoSFhRMXV5pVq1Zd0nUz\nMPglLtcDvyR94KhRo4r/37p1a1q3bn2Zp/3n8vnnn/PZ229zfyCAA5izdCkPDR/Oh5988rvH7N+7\nN82zs5kDDEFpNUoBh0MhFixYwD333HNlJg/cdtttjB79Mn7/EkKhGFyu9Tz44H1UrVqZQYOGYrWW\nwOvN5JlnnqZ27doAtGzZhpUrF+PztUHFqbehFio/Q2VTHgISUVmT01DJOwHUA+IPKEM7DWWMVbs0\nlYpfRBLK96iHugkULXRmo+LnC/XxrEBFYCeqkFUcKp6ejYqjz8LhcDBo0Lhf/O5ut5t27W4kK6sV\nUIPMzD107NiVAwfS/7RVCw3+OJYuXcrSpUt/0zGXa8CPoFyTIpJRfwnnca4BN7g8li1aRG2Ph3D9\n/bVeL8uWLPnN42RnZ3NH794sWrKEgNdLBdQvg5uzYjuPyXTFO7InJiayefN6Ro9+iVOnTqNpjRk9\n+gUsFgelSyfy73+PoV69epQrV674mC+/nMwtt/Rj+fL/EBERhcdjobCw6MngGCoMcgIVNnkQZeAX\noIyrhjLup1Dhk5Mob345SkHiRxnrXFSsfDOq5omG8rYDQD/Ug6UHeAvlt4xH1Uc5hboZNANy6dy5\nHD169Cie+8mTJ9m3bx/ly5fn5MmTBAI2lJoGoCom01p27NhBs2bNrsTlNfgL89/O7fPP/3IP13O5\n3BDKBqCKpmnlNU2zAbeiBLMGV4mkcuU4YbMVP/oc1bRL6hbz3wzo25djixcz3OvldpSPWRdVHXs1\n8LXFgjcujptvvvmSxjt58iR9+/anXr0mDB16H3l5eb+6b7ly5Rg37n2GDh3I99+vJhC4j8LCBzlw\nIJHXXnvjPOMNEBsby/ffz8XnK+D550cSDNpRcWsrZw1vAkoWOBaVkGNDxbRBGfAhqHCHCWV4M4FX\nUAKqeJSxXoxapByEqokSpY89HWXIi/5cwlALpjtRsfDuKIN/hpiY6OJ5f/nldMqXr0KHDn2oWLEa\n33+/CJ8vW587gAev97SRgm/wu7ksD1xEApqm3Ydyd8zAx4YC5ery8COPMH3KFKYeO4YTOGQysfSD\nD37zON8vXsy9Ph9O1GNTbWCr1UpAhNM1a9K9Rw+G33//BVPBp0+fzpgx/0cwGOTYsaNkZ5fH76/C\njh1r2LKlE6tXL7ugDnrDhg0UFFRBLRRCMFifLVs+vOC8Z8z4Gr8/F6XRjkQl7ezEYrEQCJREGWBQ\nBjcKJR1shzK+FVAKl3Uor93C2ZBIkQwRVBZnZf0cgrohfI0yvPEoT3wAanFzBSq2fho4idtdCKgn\nnP79B1JQ0IeCgkQgk2eeGcXw4ffy7rsfo2nlgYMMG3YPFStWvOB3NjD4NS5bBy4i81CaL4M/gMjI\nSNb/+CPz5s2jsLCQ66+/nlKlSl38wP8iJjKSU4WFlEOZqGy7nZGjRjF48GBiY2Mvdjhz5syhf/8h\neDztUcYrA6Um1fB6K7Bly1scPHjwZ970uZQvXx6n8yhudwD1q5hBmTIXbu2Vn5+DUrDU1z+JACYS\nCLQANqKi94dQce04VGGqjaj4dgnUAuRglCE+jjLCou/fVx/zbZRhB+VZV0YtfjbWX18Dk1BPAAFU\nyCYVi8VBcnISAIcOHcJiiUR5/wAlsdni6dq1Ez17dmf79u1UrVqV5s2bX/D7GhhcCCMT8y+Iy+W6\n5NDGL5GXl8f9jz7KyMcfp44Ip4ATPh+ayCUZb4B33x2Hx9MCpcw4iIodFxFCJIjJdOEIXZ8+fZg0\naRorV36M2RwDnGDSJOULnDhxAoD4+PjzvPjWrVuyYcOKc0YJoLIim6CCQP9GedLZqOzMRJSXvBbl\nhUdxVtFSCiU7zNGPt+qfl0HFwSuijPt6VGZnU327Sx+nC7BHH3szcXHhPProwwCULVuWYDBP374R\nOE5enhez2UyjRo2uuDzT4J+JYcD/YSxbtoweXbpgDQQIipCPUkAniTBq1ChGPP74RQ0voOvPi2K5\nZQBB02YiUhWncyctW7YkKSnpgmOYzWYefPBeNO1tPJ58brllGImJidx4YzcWL1a1vVu0aMELLzzH\n6tWriYmJYeDAgbzzzocUFBQZ0YWoioCLUU8CZpQhLkQZ3xKomPVBVNzaxNmFzGMo4y2oNPlq+sxc\nqAzOlwEoXTqJM2fOUFh4HBWi2YBKDCqtv3YDmezYsZfoaBUDj4qK4rPPPqVnzz6I1AeuR2Q3PXrc\nyt69OwkLC7voNTYwuBhGNcJ/EH6/n1IlS9IpN5dKKJX0xyhTFA28bDLhLijAZrNddKx169Zx3XU3\n4PFcC5hxOFbTuXNH8vI8NGpUn6effvKi40yaNIm7776fgoJwfTaRWCxZmM3l8XrVE4bN9hmh0ClM\nphSs1iwqVHBx332Due++JwkEHCgVSFnOSv6sqLKydpTn/BOqT+ZkfV83ymBHouqeROnHZFLUCFmF\nVgYA26lZ08Pmzevp27c/06fPQsSEujkMQS10FgCfYDb7CAQ8532/3bt3k5raHI9nGEWJRJGRE/n2\n2wlG6MTgohjVCP+BhEIhZsyYQXp6OqmpqXTo0KF424kTJxC/n0r6+1iUduMAsNZmo03TppdkvAEa\nNWrEsmXf8+ab7xIMhhg2bC7NmjXD4/Gwa9cujh07dsH4N8Azz4ymoKAuqrHw/YCNQGAcgUAdin41\nfb4slNyvPD6fsHPn5zz++FOEQkGUIe6OkuWFgDdRXnRRdmoNVMGpomzN/SjD7EIt2wRQvS+3owz3\nMf04K+HhKxA5xn/+Mx2r1Up2di4i7VByxU0oGWFRQpKJYDBAZGRJLBYLUVHRjB37Mg0aNCAYLER5\n/kqSGAy6De/b4IphGPC/ESJCv1tvZc28eSQVFvKWw8GAe+9lzCuqvlh8fDwhk4mDKJ81FyVDzImI\n4Lo2bfhw/PjfdL4GDRrw6acfFdf7SEtLo22rVpgLC8nx+7ljwADefPfdX1WieL1elDdbDiX7AxWz\n3o2KrYPycOP0/2sEAnHk5MSijO0J/ZuACo0kohQlzVFq9p9QIZQjKKNblbOJwt1RJWmPorTgHYAQ\nDsda2rZtznffLcbhKEXXrjfzyScf4vEUoDzu7UBvlMe+A7XwaQE+Ii/PBnQhKyuXPn3uZNGiufTq\ndTMzZ07F46mMy3WQZs0akJKS8puus4HBr3G5OnCDPxGbN2/m+3nz6Ot20zYYpJ/bzRv/+Q+nT58G\nwGazMeXLL5kZFsZnUVGMczj410svkZmTw7SvviqO314KK1asoHR8PFaLhYply7J9+3b69OxJvcxM\neuXl0aCwkImffMK4cb+clQgwYEA/7PZ9qPT3onh6BMowfoQqUGUFvkMZ+iMoxUcKMBBNc6BU60Wl\nYI+ibgSvo/Tgi1GGfqI+toezycMnUbHxJJQBXkRiYhovvvgMixYtw+cbRG7u7RQU9GHgwLvp06cn\nDsdSfT6VUGGW2vr5TKjQTBdUslBFCgpSaN/+RtxuD6+88jDDhlXntdfu59tvv7qkNQYDg0vBiIH/\njVi0aBH33nwzvXNyij97JyyMNVu2UKlSpeLPTp06xe7du0lKSrpomOOXOHXqFJXLl0c8HsJQptdk\nt+MXob/PxyRUoVYTsNNmY/UPP1CnTp2fjRMKhbjlltuYMWMOKpzhAHxoWjQiN+h7HSciYjNudzah\nEKiwyE2AhsXyLoFAPsqDDulntOrv0cdUTwcmk4lQSEN583EoTxpUEMkLNEfTThIZuZNQKIK8vP7F\n89S0sSQnx9GmTTMmTpyMyN2okrKHUblrJtRN4ybOyg9nAQ5sNiElxcK6dSuN2uAGv4lLiYEbrsDf\niNTUVE4DW1GBh9UmExGxsT8z0nFxcTRr1oydO3dSKTmZ6PBwenTuTHZ29iWd58cffwSvlyaotggP\nAuFeL9FRUSxAKbS7ofzRln4/zzz22C+OYzKZyMsrBDoCD6OWU7vhcPgID19DePhWIiI2EBsbhdVa\nC6UzPwRMxmb7FuVR36of+ySqxVlN4DFUhL8z8BRWaz06d+6CyVTUqPg4yuCXQXnifYE6iLTF6y1D\nYWFReAbgECJeDh6sz5dfzmbEiIdxOicRGXkYTTuAyfQmqsO9F/gCFXOfhVpZaInP14GtW7cWPwUZ\nGFxJjBj434jY2FgWLF7M7bfeyvxDh6hdowYLp0/HYvn5j3nHjh3c2qMHXTweEoBlCxdya48evP/x\nxyQlJWG1Wn9+Ap2EhAQKg0Gu0d9bUf3dS11/PbNnzKCe31+8bwkRMjIzf3WsyMhwlPzPqb/20rRp\nY+67bzAej4eCggIefPBVvN6uqMXImmjaWB5++DFmzw6yfXuBfhwog14kI6yOUqaY8PtTWLx4OqFQ\nJaCnPs4mVD2UEGe7/ICmWejXrzdTp35GYaEFkUKgB1AVjyebzMwsduz4kbS0NE6fPk1GRgZ5eXkk\nJiYSHh7O4sVLmDFjC37/XagQTQGhUMAoHWtwVTA88L8Z9erVY/WGDfTt0wdCIV4YNeoXvb/FixdT\nPRSiMirqHOfzsWjJEq6tXZtypUsrL/tXqFOnDqUSEtiqv/cCu6xWbujYkVffeIM1DgenUMLAVS4X\nXS+QdDRy5BOEha0H5qJUJHPZuHEDdrudPn366IbPxdl63g5MJhPPPfcsL7/8PE7nfFQc/HuUbLAh\nKl6+g6LFT7N5L3a7AxXvLhqnNMobT0ZVKkwHVmO17mf06NEcPXqIKlWSgBtRi6P70bQzRESEUa5c\nOaZM+ZKhQ0fw2muzeOedj0hOTubuu+9m4sQJ1KlTHYdjPrAGl2sKgwcPJjy8qPyYgcEVRESu6kud\nwuBS8fl8smTJEvnuu+8kLy/vNx2bkZEhzRo2FIemSV1NkztAmlitUqtqVfF6vcX7/fTTT9K/f39J\ntNvlGZChIC6Q5iB1QWqBJCUkSCgUOm/8/fv3y5NPPCEPP/CAzJw5U0rHxUmc3S4RNpvc0aePBINB\nCYVCMmb0aImLjpYSkZEy4pFHJBgMXnDeO3bskJIlS4umtRB4WmCAuFxRsnv3bjl27JhERpYQTess\nMETs9lRp375T8bHLli2TQYOGSP/+d0qpUskSHp4oDkeElCxZRsLCEiUyspKULl1OXnjhBYFogYf0\nc9QQhyNCmje/TuLiykhiYgXp2LGbpKWlFY89f/58sdlcAnaBRAGbjBw5SpYuXSphYYkCTwmMEhgi\nTmd48ff0eDzy6quvyuDB98jEiRN/dh0NDC4F3XZe2L5ebIfLfRkG/NLJy8uThikpUjY8XKpERkrZ\nxEQ5ePDgJR3r9/ulcrly0kTTJArkWZBRIM+BlAkPlx9++EFERL766iuJcrmkkdMppTVNIk0mqQIS\nBVIZpAtIFRAbSFZWloiIBINBmT59ukS6XNLQZJLrQKJdLvnmm29k69atsm/fvkuaYyAQkIMHD8rO\nnTvl9ttuk9ZNmshzI0dKdna2mM1WgWd1gzhKwsPry4QJE0REZOvWrdKkSSspW7aK3HHHwF+9sXm9\nXtm2bZscPHhQ/H6/rFmzRpYsWSL5+fkSCoWkb987BEwCmjgcUfLFF19IZmamiIhkZ2fLli1b5MyZ\nM8Xj5eTkiN0eJjBEn9cD4nRGydixYyU8vF7xXOE5sVjskpOTc0nXwcDgUrgUA27EwP9EvPryy/h3\n7WJAYSEmYJnbzQPDhjFz9uyLHpuRkUFOZiYdRdjGWbGcAEGRYq32PXfdxc0eD2VR0d+JVisxdety\neP16bkMtitRFKaSPHDlCREQEN3XqxJrFi4ny+0lDLfmV9Hh4YeRI1l0g1HIuu3fvpl3r1pzKzKTQ\n76cM0AKYumUL6bt3Y7XaCAZPo8IeQSCTkiVLAlC7dm1Wr1560XPYbDZq1qxZ/L5x48bnbf/88wlM\nmPAJ8+fPp3fv27nrrofx+7O5666BfPrpREymCPz+bD7++AP69OnD0aNHsVoj8HqLClLFYLOVIjo6\nmmBwL0Xt1zRtI6VLJ1+wcqOBwdXAMOB/IvakpVFWN94AFYJBNuzZc0nHRkVF4dG79JQCvkTpMfbY\nbFS45hq8Xq9SQ2Rnk6AfYwISNY1mLVuSvnkzZn3x0QREOJ34fD4+++wzdq5cyT1+PxZUhe05qLQX\nz29o5XZTp07kHjtGOVRqzQaUFqSHx8O/p0/nrXfe5eGHnyAYrI7ZfJSkpEg8Hg+BQOAXF2F/L4FA\ngFtv7YvbnYJSoYTx9tvvAf1R8fAT3HXXPbRu3Zrk5GREClCKknLASXy+Y7Rt25Zx495j0KC7CYVC\nlCpVmu+++9aQCRr84RiLmH8iGjVrRprLhQ/lHW+x22n4X17kuYRCITZt2sTq1auJiIhgyNChTA4L\nIwE4abXyQ3w8re66i1MnT3JL+/a0a9qU6LAwllmtBFApLmkmEz179iSxfHm+t1g4DCyyWChRpgw1\na9Zk3759lHG7i+/0FVHlnBa5XNx6++3s2bOH9PR0QqHQr8wSgsEgO9PTiUWJ/tqhetysQXWgNAWD\nVKxYgaVLF9CvXw0CgVNkZNi4445Had68DUuWLKF69RTi4kpz2223k5+ff0nXc82aNVStWpvIyBK0\nb9+JU6dOsXz5ctxuD8p7XonqPxLG2cZSCdhsCezZs4ewsDBmzpxGePgsIiI+xOGYyEcfvUtSUhJ9\n+vQmPz+H48ePsH//HqpVq/Zr0zAwuGoYiTx/IoLBIP379mXWrFlYTCZS6tZl5uzZpKenk5ubi9/v\np2TJklx77bX4fD5ubNuWHZs34zCbMUVFsXTVKjZu3MiPP/5IlSpV6N27N71uuonT8+bRKBDgJLDE\naiUYE8PRkyexWSwMGTaM/7zxBidPnmT40KFs37qVmrVr8+b775OQkMDXX3/NsL596et240LlNm6x\n2Rj+8MOsWLqU7VuVFqVWSgoTp04lJyeHihUrnlfvY9KkSdzdrx8pKM8dVN7iWJTyOwtY6HKxYu1a\nWrduy5kzXVAGNQS8g8XiIRDoCsRjt6+kbdvyzJkz84LX8vDhw1xzTR3y89sCyVita0lJESwWG2vX\nhqH6ZQpKu52OKoBVCjiD0zmenTt/omxZlaafn5/PgQMHKFOmzG/KVjUwuBwuJZHHWMT8E3Lq1Ck5\ncuSIZGZmSq2qVaWUyyU2kCSTSeKdTul2443S+7bbJMZkkmogd4C0MZul2403Fo9RUFAgubm5UqNi\nRekCEgaSCGLVX81A2oGEm81Sv3Zt+fDDDyUUCsncuXOlarlyEh8TI/379JH8/Hx5YsQIcVitEuN0\nSs0qVeTw4cPy8AMPSKrDIc+CjARJtljEbjZLmYgIKREZKStWrCiey4C+faW5PocBII+AXANSTV9o\nHQXSzGyW559/Xkwms64SUQuEGkkCtc9ZMHxSLBbbRZUdU6ZMkYiIuucc96xYLHZJSqokMPSczztI\nxYpVxemMlKioSuJwRMj7739w1X62BgaXCsYi5l+TosW7u++8k/D9+8ny+agLbA+F8BQUsHDuXNA0\nOongB2YAbYJBdqWlISI8/MADvPveeyCC3WYjHeVvtkV50PmoFrwfArWCQUr99BOjH3qIH9auZdrU\nqXTxeCgEZkyezNQvvqBFs2Zs2bYNp9NJmTJlMJlM/PjDD1TX4/WngMxAgCFAbF4ee4DuXbpwPDMT\ns9lMYlIS261Wuvj9zNbPD6okVBFesxmXy0WlStXZs2exPtuTaBxDMKG8ZQ3IxW53sHv3bkqUKFF8\nrf6byMhIRIpKzJpQCf9C8+ZNmTXrB7zeG4FCnM5tjBo1hnbt2rFnzx4qVKhw0TrmBgZ/Gi5m4S/3\nheGB/26aN2wofUEcuk77Lt3bbQESd4732k5/f0v37vLJJ59IOZdLHgSJ1zXdHUBKglwH0hqkCUhX\nkBrnjPEQiNVikaYWizykn+9WkBEgLSwWaZCSct7c7h0yRBra7fKcPp8KIINAbgK5HsRmNsv06dNF\nROT06dNSqWxZqe50yjX62K1AIvS5NTGbJbFkSTl+/LisXLlSzJpdNDSxYZaGIGaTQ+z2FIHrxOEo\nIRERMRIeniA2m0ueffb54jn9+OOPMmHCBFm+fLn4/X5p1KiFuFzVBVqJyxUvY8a8Ijk5OdKqVVux\nWOxisVjl4YcfNXTaBn9KMDzwPxa3282MGTNwu920a9eOypUrX9Z49Ro2ZMXWrYR7vZRC5RECtAFW\noUo1LUG16NWA9D17WDhvHjU9Hg6h2vberG+7BtXpsTeqtUFplG/qQZV++h4wBwLsNZsphdJcFKXK\nXxcI8MqOHeTm5rJ+/XqeeOghsrOz8YSH85HFQrbHQ0iE6aicxQNAYjDIPXfcwb69exnx2GNs3raN\nRx55hO8mTGCIz0eUPofpwH333cf0xx4jISGBhIQEPvzoHYYPG4bLYuGA3c5306ezefNmjh8/wZQp\nezl6tDYiDYB8/u//3qV16xbs2rWbRx55EpOpIiKHueOOW1i+/HvGjx/P4cOHadr0ieLa6EuXLiQ/\nPx+r1ap3FjIw+GtiLGJeIXJzc2lSvz4cO0Z4KMQuk4k58+dfcueVQCDAv199lVVLl1KhShVGjR6N\nzWbjxrZt2bhpE06/n2Goqh3HUYVWU1CNwu5E1fFbaLWSHh5OXFYWlVFthouS2P3AGP14jbM3gxP6\n+7pAeVRS+hlNwybCPajgQzbwntXK8pUruaFNG27weIgCljidNOjShZ82byZ9zx7uRyW9Z6PKOw0E\nxlutZOXm4nA4WLJkCX27dGGA240d1V5hdlQUp7KyfibBy8vL48SJEyQnJxcbWRHBYrESCj1BUf9K\nu30B//rXTTz77PN4vXehilgV4nKNY9WqhdStW/eSrr+BwZ8NoxrhH8h7772H7dAhernd3FhQvYKK\nfgAAIABJREFUQHu3m+FDhlzy8QP69ePTF1/EsXAh68eNo2mDBphMJpatWcOWHTuo0agRH5nNzNQ0\nJphMDBw8mJyyZUlBGU0TUN/vJy8ri5MoQ7wLVbLpOPAVSgJYDmiEUj33B1JRRr0dqgRsbyBPBGep\nUkxyOFhkMjHZ5eKFF19kzuzZ1C4o4BqU93xDQQHfL1hAbGIikfo8QLVns6NuIBaTibw8Veu7devW\ndLvtNsa5XEyPimJWWBiTp037Rf10REQElStXPs9D1jSNMmXKoRoFA3ixWA5is9kwmewo4w3gwGqN\n5+jRo5d8/Q0M/ooYBvwKcfL4cUp4vcWlkhKAzAtU4TuX3Nxcps+cSU+Ph1pAB5+PUGYmS5cuRdM0\nKlasiM/nIxywiVBNhPmzZzP4vvs46nRSpMDOQJmwGFQDsZaoXvHjUa172wCnTCbOXaJL5nyKnpWq\nVKnCM++9R/vnn2fyN9/w6IgRhIWHU3hOUo0HyMvJwbdiBVmotsCgykgFUGVtHTYbj9x/P6tXr0bT\nNN4bN455y5fz0uefs23nTtq3b39J16iIL7+cTGTkIqKiJuN0fkBEmPDMY49RUJCvf1sBDhIIHDE6\n3xj8/blYkPxyX/xDFjHnzp0r8S6X3AfyJEhdu1369+nzi/ump6dL75495bpmzeS1V1+V06dPi8Nq\nlWfOWVSsHhEh33zzjYiIHDhwQKIcDqmgLwDaQaItFpkzZ460aNxYksPDpUZkpDjMZmmr71MKJBak\nsb5wGaYXnYpwOCRZ0+QJkCdAyunjNQLppS9G1gQpVaLEz+Z9/PhxKVWypDS2WKQ9iEvTpLk+39Ig\nThALSLReFMumywVj9IXY23r1umhhq18jOztb8vPzRUQtik6cOFHKJSZKrKZJO30B1azZxGSySERE\njMybN09EVHGwNWvWyMqVK6WwsPB3ndvA4H8Bl7CIacTAryBvvvEGI596ikKfj04dOjBxypSflRE9\nfvw4tatXp0xuLk4Rjjoc9Bw8mPQ9e8hYsoSUwkIOWSxkxMWxbdcuIiIiOHHiBOVLl6ZaKEQ3lHf7\nGdBVT8JZuXJlcXZi71698BYWcjPKG1+IalngRnnlOahKI17U41cqqpr2FtQCZDIqpLI3OZk9Bw8C\n4PP5mD17Nnv37iU+Pp4d27dz4tgxpn3xBdUDAVL0Yz7XxwugulFeg/LKb9LPMQvIMZkYOHAg5SpU\n4JsZM4iNjeXpf/2L1NTUX6yZ7fF46NWtG4uXLUNEuL1fP57917+oV7s2KTk5xAErgAr69zV36sSM\n2bPRNI28vDyaNWtDRsYJNM1MQkIYa9Ys+1XpoYHBnwkjked/xIVkaW+++aZEa5qU0WV8LhC71SoF\nBQXyyIMPSpN69aRPr15y+PDh4mMKCwslwmqVGJBkPRmmG0jbli1lzpw5cvTo0eJ9hw8fLo3/Sx5o\n019xusd9DYhJ/6wRSKSeZBMNUlb3lsNMJql7zTXyn7Fj5dq6dSXGYhE7qmphyagoiY2MlEa69+vS\nJYtWkHCrVeL1eVYEueGcuQwCSQApabFIGatVeoMk6XOxms0yqH9/CQQC512v+4YOlRSHQ57Rnxgq\nuVxyc48e0sDhKB73Qd37r2e3y5OPP1587IMPPiJ2e329yuFzYrU2lX79BlzBn7SBwdUDQ0b4v+FC\nRY1Wr15NjAi3ozzgbcCcgOrY8u+xY3/xmHuHDCEuGKQ9qnfNNFQRquOrV3O0Tx+OhULMmjOHVq1a\nUblyZZbbbODzASp9JYRSmlREtePdjGriMOCBB5gyYQKW7GziUC2BS+nn6BIKYU9LY/SIEfhDIZyh\nEENQape1OTmsRTVCE5T3XgFV3+SA3883+n6F+nhF5KMWN08HAtymH+dCNUMLBoNMnTKFXjk5vPnW\nW8XJNKuWL6deYSEWVOW1Wh4PB9LTz7s+gvL6qVKFJ59+uvjzbdt24vVWoGipx++vxI4du371Z2Ng\n8FfDWMT8gymVkEBZzl74JMBygfZlANOnT+emUIgElHiuJLBfhCqBAHG5uVyfn0/fW24BoF+/fmSV\nKME3ZjMrgEkoIxmFqkNSFSUtLAAOHjyIIzub+4DbUQZ5B9AK1ZCsAnBjIIBH79xTFOCojVrARB8n\nWx87Ut9WQX9fDtUjZx6qedkcVAlZUGGcQyhFjFUfu77Px8qvv6ZuzZqkpaUBUK5CBQ7qpXAFOGKz\ncW3TphxwOFhuMrEDmGG3c8ttt7Fm48bzSro2blwfp3MnyryHcDi2c+219S94rQ0M/kr8bgOuaVov\nTdO2a5oW1DSt3pWc1N+Z9jfcwA6nkxyUZ7zaZOK666772X7Z2dkMGTSIxqmpBAMB8oHZqISbWMCG\n8nDzUOnxR0+eJBQKERsby8atW7npueeoff/9pDRqBJxtJFaEAHO++Yaz/imURcXGC87ZrxB1A9ip\nbwNl5E2axk5UGn2As+nxIVSc3YlqbhwdEcEGlAEviVKm+FFPESGUjr2IQ0AlERrk5fHUo48CMPbt\nt0mLjeWLiAgmRURQUK4cY15+mTUbNlC6Vy9yWrfmsVdf5bPJk7HZbOd9x2eeeYpmzZJxON7C6XyL\nlJQwXnvtpV/4qRgY/DX53YuYmqZVR/0NfgA8IiKbfmU/+b3n+Lvy6ksv8exzzxEKhWjUoAFfffst\nJUqUKN4eDAZVUtDOnVzj9bLSbOZYMIgFGI4y3jnAO8AjqMXB3Ph4vlu8mD179lC9enWqV6/O119/\nzR09eyKBACZUCKUq8ANqUfM0yjjfjSqougAVXjEDjfXzLEcl+KSjDH2k2Yw5OppRL77Ic48/TmFO\nDm5USKY2KjnHitKTzwT2WSwcOXGCZg0aYM3IYCcwDGW4t+v7lzaZkFAIN6oD5SogPzKSZ196iRo1\napCUlMSOHTuwWCy0adMGp7OoifHFEREOHTpEMBikfPnyRs1ug78Ml7KIedkqFE3TlvAPMOA+n49p\n06Zx8uRJWrZsSYMGDS5rvEAggM/nw+Vy/WxbWloarRs2ZKjbXVzG6XWrlRIiDAgEivd7GWiOMsSx\nrVuzcd06kq1WDvn9vPjqq2zbsYP333uPASivfSXKaPr0MQcDacAyfTyryUR4eDitc3M5iApzZAFB\nTaMgOhqn04kzLIy2N9zAmVOnmPfNN1gKCshFhWUOoG4O6ONbUd724888w39eeYVwvx83cANQC5UF\nOsnppGOXLiz66iva+HzMQYVwHMB3QKTTiddsZvrXX//ik4qBwd8Vw4BfIfx+P9e3aMGJbdso6feT\nZrHw1gcf0Ldfvyt2jrS0NI4ePUqtWrXIycmhaWoqwzwezKjHnPecTrxAl4ICKgIbUdmWhYBYrVhN\nJgZ7vUSijO5HNhuBQIBgKEQ4yhjfqh8TjfKA79bPHdDHX7lpE4sXL+bZRx+lfkEBmaiQhwnV6Cyg\nn8+Lkhxeh8ry/A5ldJNQUsIUfZ99KClhmtVKbb8fG6pui+hjWhwOxn3yCbfedhsjn3qK/3vtNZoG\ng7TU57UH9QRwHTA7MpLM7Oxf9KCDwSA5OTnExMQYHrbB34ZLMeAXVKFomraQ84UERTwlIhdv1Kgz\natSo4v+3bt2a1q1bX+qhfwpmzZrFse3b6aN7xLV9PoYPG/abDPiOHTs4ePAgNWvWJDn5/PzHxx55\nhHHvvUe8zcaJQIBps2ZRt359vtqwgaoFBex1OKhauzZPjBxJjy5dCKBCHiVR8eozwSDRZjOR+ngx\ngD0QwB8KMRRlfHehiliBCnfk6K8olE7cK8L1rVpx5uRJQsD+KlXo0b07zJ9PcOtWOqC84hmoGPgt\nqDh3MioMshQVeumIin2DMuwhoHIwyAGrlSF+P9ej4unrk5LYkZ6O1WolKyuLf734IpmnTrHv44+L\nr4sZZewrAJ6CAnJzc4mKijrv2k2dMoW7Bg5EQiES4uP59rvvuOaaazAw+KuxdOlSli5d+puOMTzw\nC/DFF1/wyPDhnMnOJiIYZFAohB3lib5kMuHz+zGZLr4O/Nwzz/DW669TymbjqN/Pp59/Tvfu3QHV\n9qtbu3bcqXe8yUB5m4eOHeOlF19ky4YNlK9cmZtuvplq1apRo2pV/B4PzVBhkUWoHpP7UEqScsBe\nYKqmkSDCXefM42WUcQcVr16hH3sCiIqOxpudzXUoVclKoG5KCmlbtxIjQg7QByU1nIeKxRf1ppmI\n8r73omqqlNc/34jy9M3AoRIliPF6iQ6F2AXMnD0bi8XCzd264fF4cLlcvPDyyzzx8MO08niKQygt\nUDeOlXFxHD5x4jwPe9euXTSqV4/eHg+lUH02dyQnk37ggOGJG/zluWwP/Lec6wqN86dh3bp13DNw\nID08HmJRErgvgZ7AMquVltdee0nGe+vWrbw9dix3FRQQVlDAUaB/377cmJWF3W4nPT2dsppWXAiq\nAuDWm/mOfvFFvpg6lcEDB/LtpEmc8vmoW78+eStXUlTjMB5V68RhsTDDZkMTwWy1cl2jRixbuJB8\nVFnZo6gbTybKc96MWmj0AVNMJvKys+mPKlIFcBjYt2ULD6C021tRBbGsqMXNiUBT4JTVSo7TyYHc\nXCwoo3uLPu4qlLJlG2DLy6P30KHUqFGDNm3aEB8fT6WyZbkxL4/KwB6fjydHjKBbr14s+vZb/H4/\n7vx8fnC5CFosfDt37s+M8qZNm6iol78FaAAsOn6cnJwco/WZwT+C323ANU3rDryJepL/VtO0zSLS\n8YrN7H/MwoULqVVYWFzs6UbUlx1rtdKiSRMmT59+SePs27ePMhYLRR0iS6M80szMTMqUKUOdOnXI\nCIXIQnnH24CSJUoQERFBVlYWdw8cSN+CAkrpMemP1q6ljsUC+mKmhgpT+AMBJn72GY0bNyY2Nhan\n00mk08nbwSAJqAbGZpQxLkqjnw8ENA1NhBDKgy4y4AGgsr4/QDWUAXeYzdjsdqrVqkVk2bJcU64c\njb1e3nrnHcJESEZ1+gmh4u5HgXpAZZ+PyRMmcCo7G4D169cTqWkUVUyvAlgKClg2dSoNvF72ORyU\nq1OHjydOpFKlSr+oPElKSuJYKIRXn+cxwGyxnKcFNzD4O/O7DbiIzEIp2P6WxMbGkm23IwUFaCil\nR5nSpck4cuQ3jVOrVi0O+v2cQsWidwI2h4OEhAQAUlJSGDVmDE8+/jjhVivYbMzWa3kcPHiQKKuV\nUgVKmV0SSHA62R0KERkIUBKlCw+hapC88sIL7Ni1CxHhhrZt+eHHH7mueXOO5ORgQoU26qHi4Rko\nDXcV4E4RslFedZGRP4SKkbtR8fYfgTIJCRw8fvy87zf+0095dvhwWorgRsXAO6I88Jf08d0oDXte\nbq4qwKNplC5dmtM+H7moBKBcIDsQoE8gQAxQp7CQj/bsobCw8Fdlg82bN6dzr158+uWXlDKZ2B8M\n8sn48Zj1xJ+rhYiwdetWsrOzqVu37s/i8gYGfxgXy7W/3Bd/0VooeXl5UrNKFanlckkzi0WiXS75\n6quvftdY48ePlzCHQ0qGhUl8TIysXbv2Z/ucOXNGli9fLo1SU8VkMklsZKSMHz9eIl0uuVtvbVYV\nxKFp0uzaa6VkRISURrVJewakvMkkiVarjNDf13U4ZMigQSIismPHDgm3WGSkXjvkOb12iUWvIzIK\nZDBIFRAzSLh+LqdeLyVG//8LL7xQPF+32y0bNmyQbp06SWeQO/U6KQ/q41+nn2OU/qoHEhsVJVu2\nbCke46UXXpBYl0tSIyIkxuGQcItFnj1njmUjImTNmjVy8uRJ2bJlS3E1wnMJhUKyYsUKmTp1quze\nvft3/Xx+C8FgUG6++TZxuUpKZGRliY2Nl59++umqn9fgnwdGNcLLw+12M2nSJLKzs2nbti316v3+\nhFO3283JkycpU6bMzzIGi2hSvz72LVtoGQxyHJjmdPL8Sy8x8sknCXq91AyFSAV2aRprgZAIZcxm\nIu12DorQrKCAhvpYh4HVFSuyfe9eMjIySL3mGu73eouVHe+iFitv0f9dhvLQD6O85o7ACyhJ4DYg\nJjaWXXv3Eh0dzZYtW7i+ZUusXi85fj/2UIg+qIXUhSgv3gT0QCUOgYqHbzObKbDb+WjCBHr27AnA\n5s2b2bVrF1WrVmXooEFoO3ZQ0+djj9XKqaQk7rrnHkaNHEmMzUaBpvHNvHk0bdr0d/8cLpfJkycz\nePAzuN19UCsCm6hZ8zDbtm38n83J4O/JH7mI+bckLCyMwYMHX7GxKlSo8KvbA4EA6zdv5mkRzEAZ\noJqm4XA4WLx8OR1atuRGPZxTWoRdqGzJFSYT7fr2pX1EBEvefhvx+dBQhjgQCjF27FhsNhspqalM\n/+EHUoJBdqJS8BNRssAAKjsyFhUffxu1+GgFuqIM+4kKFYiOjiY7O5vmDRvSwu+nkb7/R6i4d7z+\nXWJQRbPWoMI++cBaoHswiM3j4c7bb2f+nDk0bt6cgQMHkpqaCsC9Dz7ImFGjWJCbS6OmTRn9yCP0\n6NSJu71eor1edgPdO3fmWGbmJS0gXw3S09PxeJIpaukGVdm/f+n/ZC4GBkYxqz8JZrOZyLAwTujv\ng6juOfHx8cTHxxMQIXDONh/KYDb1+8nPyuKZZ58lr0wZPkIl0ywBMvbvZ/KIEXz86KPs3ruXNnfd\nxaq4OPagDGs0Zw11UTMyu/75bKATapE0GvUEUVBQQEqtWnj9fmqds391VE/NE0Ci2YyGukFowPvA\nFJS8sCIqqcBdWMiRCRMY88AD3Ku3nfvP66/z+LBhVNm/n/K5uaxbv5709HTKmc3FcsWqqPrgp0+f\n5rPPPmNA37489cQTnDlz5gr9FC5OnTp1cLn2UVQxxmTaQo0atf+w8xsYnIthwP8kaJrG++PGMc3p\nZJ7Tyefh4VRt2JCuXbuSnJzMDR07Ms3lYj0qIScWZQzPmExERkcTFhbGwCFDcFqtpKA8+A5A52CQ\nboWFVDxzBpvNxp5Dh2jYrBmBsDDSNY29qF+CDajQSgYqu9JusRCLkh0udTrpceutfPDBBxQeP04Y\nKiUflAeejpI/AjhCIQag9OVRKO/eYrcTQnni36M8+sbArR4P4ydMICcnhzGjR3Ozx0NDoH0gQKnc\nXHbv3s2hYLC4UFYGYLXZeHPsWJ4cOpTMyZNZNHYs16amFvfdvNp069aNO+/sid3+DuHh71GmzF6+\n+OKzP+TcBgb/jRED/x9z4MABXho9mtOnTtGtZ09q16nDmjVrSEhIoGvXrsWKimAwyLvvvsvCefP4\n/vvvqR0IsB/I1FUdZsAvQoqmcZMIHwHtUYk9oJJqInr1YtK0aQSDQTZu3Mj777/P+vHj2SuCHeU1\nm4FW11/PmuXL0fx+goA9LIzdGRm8+vLLLHr9ddKguD63D6iBuqGsBkI2G639fsqIsN7hoCAxkQMH\nDuAKhcgDbJrGPSJEoNQzr9vtpB84QLVKlRjkdhdnk863Wun50ksU5Ofz2ssvE2e3cyYY5IuZM+na\nuTPDfL7ifb8MC+PJDz6gb9++V/NHdR7Hdb15xYoVsV6kHLCBwe/B6Ep/BZk2bRo3tGpF5/btWb58\n+RUZ89ixY1ybmsrOTz8l8M03PD50KN/Nn8/QoUPp3r37eXI4s9nM8OHD+WbuXDb/9BMRrVoRYbHw\nODBChFIiNAXSRFiDMqjfo+R5mcAGl4vOevbnyZMn+fqrr/AXFrLfbicFJeULA27o2JG0rVvp7ffz\nKPA4UCEYZPLkybRo1YpjLhd1OVsHvBDYBCzXNBLKlmXhkiX4mjdnWblynIqI4EBGBveGQjyAnjgk\nwk+axjFgvs1GnTp1iI+Pp0+fPsxxuTiEkizutNno3LkzZrMZp9NJLjBs+HDatGlDMBgs1qcD2EXw\ner38kZQqVYpq1aoZxtvgf4phwC+BSZ9/zn133knk8uWYFy6kW8eOrFmz5rLHnTp1KmXdbtqEQtQF\nbvJ4+Pcrr1z0uGrVquHzeGjs92NHpZo3QmnVu6MWNvcCWSYTbwKfhYXx4MiR9O7dm+PHj1OvTh0W\nv/Yax6dMwSqCt2ZNkuvX57nXXuOr2bPJys7m3FSYML8ft9tN165duf/JJ9lksaCZTCSUKEG41UoN\nhwOHzUa//v3Jz8/nlttv///27j08qup6+Ph3ZzLJzEmAJEAAuUVuoiAUBUQDFAEVRUQFDWh9K16g\nIhaBl3rBKlUoitqf8CKltngBCYKABNBwjeCNlyIUq1wkFCGC4RICIckkk2Rm/f44Q5oIhEBC4oT1\neZ48T2ayzznrzOFZnNln77VpdNll5Gdk0BSK75RbYveLn+jYkQ8tiyMxMQx79FGMMUx7803uGjmS\nTa1akdmtG6tSUvg0JYWZU6Zw9/HjDM7K4r1p05j9j39w98CBLHe7OQB8bQz7HA5uueWWCl8PpYKN\nJvBymP7aa9zk8dAeeyLMdR4Pb82cWeH9FhUVEVqie8mJ3VWyY8cOkpOT+fHHH0u1/8trrxFdqxYR\nLhc/pafzU4k79APYU+bzACPCaGCE309DwOvxsGzxYnbu3Mns2bNpmpVFv6IiugN3er3kZmeT8uWX\n7PzuO2pbFkWFhczDLnK1C9hqDP379wfgmeeew5Ofz87vvyc3N5dHCwsZnJ/Pw14vr/z5z/yfO+/k\nH08+yecbNxInwk/Y3wLAnukJsHvPHjrl5dHp0CGee/JJ3pwxg9DQUF5+9VW+TU1lw8aNdO3alSUf\nfMANHg8NgAbADR4PS+bP59158+g9bBj/v1Ur8uLjWf/llzRu3LjC10OpYKMJvByMMZTsxRfKXvey\nvO6++26+Dw9nM/YY6uWWRdu2beneuTPjhg6l/RVXsHjxYsCuiDj1hRf4TU4Oo7xeQo4c4Wunk0UR\nEbwbEsK/jCHPslgXHk4LpxMn9sPOOGC4CFFbttC7Rw+OZWTgLiwsjiECu9Lf+DFj2LhwIb8rKGAY\n9pJpc7CLZTVu0oSOHTsWb+NwODhx4gR1w8KK79RrAZbPx615edzm8WBhT8X3YS88MRP4AHBbFjG5\nucSL0AFo7PHw5BNPEOl2M3L4cIpK1DuPjokhq8TnfMIYourWxeVyMe3NN/k2NZXVGzawcP58Lr/s\nMtpefjnz5s2r8HVRKljoOPByGPP004x66CHyPR4KgE2WxepRoyq835YtW7Lus894dtw4dmVmclt8\nPInvvluq8NWwBx7g9ttvJ3n5cjp5PNQLbHuj10tK06ZMmDqVwhJVES3LYsRvfkN6QQE5QB/sbosY\nEVILC2nVujVvu91clpdHHSDFski47z6WLlrEzXl51Mbu8rge+865TkgIrrZtT4u9TZs25AC7sYf3\npWKPMjlVWOpmICnwt33Y0/JrAd08HrZhD1MsxB56+ATg8HpJmjePyQ0b8sKLLwLw/KRJ9Fi7lpOB\nUgK73G6+mDSpVByTX3qJedOm0c/jIR8YPXw49erV0y4VdUnQBF4OCQkJhIeHM3vmTMLDw0l+9lm6\ndu1aKfvu1KkTySkpACQlJbHh/fdPK3x19OhRYhs14hunEwJ3z0exCzfVr1+f3r17l/pGsOOpp5g8\neTKFBQXkY1cf9AHZPh/XXnstHyxZwjNjx5KTk8Pd997L5JdfZsO6dRw9eJBI7GXWjgIHQ0Kgdm2+\nnD69VMyFhYUkJSVx7/33M//991mSn0+kZeH0eknPz6c54D31rUWE9thDDR/D/srXDpgWOE5v7OGG\nYCf3lStWFCfwdu3a8fU335CYmIgxhveHDqVFixalYln4/vv0DpSTBeji8fDh/PmawNWl4Vxz7Sv6\nQ5DWQrlYvv76a1m0aNEZ63bs2bNH6liWjAzUAxkCEhsdLYWFhZKRkSFxjRtLB8uSzk6nOEGucLul\ncWSkDBk0SPx+f6l9ZWRkyG+GDJFmERHSB6SNZcmtffvKDz/8IIPuuEM6XXWVPDZ8uGRnZ4uIyKRJ\nk8QBEh74cYPUcjplwYIFpfZbVFQkfXr0kNYRERIfGip1LUtef+018fv9snr1aqkfHS0hxkjbli0l\nMTFRYmrVkqaWJY0C9U3uA2kPUhekC0h8iXop/YyRO/r1K/Pzy8vLk9TUVDl58qSIiHTr1EnuKbGP\n7iEhMmb06IpcIqV+EShHLRRN4FVo/NixUs+ypGPt2lLH7Za5c+ee1mbOnDnFha/qR0XJxo0bi/92\n/Phxeeutt8QVFiZDAglrAkjjiAhZtWrVafvy+/2SmJgo48aMkVmzZsmxY8ekacOGcqPDIQ+CdHK5\npG/PnpKWliZ1LEseCezz3kBBq25Op7z++uul9rlixQqJi4wsLjr1BIg7LEx8Pl9xG6/XW/z7kSNH\nZPHixdIgJkaag9QLJO5okGsDBbDaBX7q1q4tO3bsOOvn9+WXX0q9OnUkNiJCIl0uee+992TNmjUS\nZVnya5BuDofUj4qSffv2ndd1UeqXqDwJXCfyVJFt27bRNz6eRzwe3NgjPN5zuTiamXlaudSyCl/l\n5eVROzKSCX5/8SoaKyIieHzGDAYOHMg///lPatWqRbdu3U6rF/LJJ58wduhQhp60x4X4gL+EhTF7\nzhz+NGIECVlZxW3/B3C73fx94UJuv/324vfnzp3LGyNHckeOPT/SD0xxOMjKzi5ztfgNGzbQr3dv\nnvT7cWGPlpmOvRjy5w4Hka1bs2rt2lKjSf46cybPT5hAvtfLnQMHsjI5mZuzsmgT+Pzmud1s/e47\nMjMzWbRwIS63m4cfeeS0JeuUCkZazOoXJC0tjUahoZxKcbHYsxIzMjJOSzg/L3xVUFDA/PnzOXz4\nMD169OCKVq3YmJrK9SIcAfaIEB0dTduWLYnx+znp83F1ly4sX7Wq1EQTp9NJgYg9igZ7mrtPhGbN\nmnGooKC49ncG9gPJQYMHFw8fPCU+Pp7heXlchT1d/zPslePDw8Mpi2VZ1Ha5+HdgWGBzwG0MyyyL\nvr178/bcuaXqaicnJ/PC+PHc4/EQAXzy0Ud4ioqKqxvGAk2dTrZv386AAQPo3LnzuS/wTlXuAAAO\nQUlEQVSCUjWMJvAq0qFDB34sKuIn7IeT32FPUW/UqFGZ2xUWFtKnRw+ObN9Ofa+Xl51OnnrhBd6e\nNYt1+/eDCNFhYfx+xAi6njhBZxF8wIJNm3j77bcZESgWBdCzZ09qN2nCir17aer1st2yuGfgQK6/\n/npGjh7NrOnTaexw8ENBAc/94Q8cOXyYX115Jc3j4nhj5kxatGhBWFgYISEhJPt8ZGMvapyfn0/n\n9u1p2rw5L73yCh06dDjtPP7+179S4PGQjj3lvhEQFhPDj2lpWJZ1WvvkFSv4VSDZA/za6+U/UPz5\nZQMHi4pOe6ip1KVEE3gViYuLY/acOTz4wAMYv5/I2rX5eOVKQkPLvgRJSUmk79jB/bm5hAAdi4qY\n/OKLtGnZkq4hIUT4fGw8cYIc7JmOYI9caeLx8J89e0rtKzw8nA0bN/LnSZP4ITWV3/XowegnnwRg\n0pQpDLr3Xvbu3Uv79u0ZM2oU6V98Qef8fNJ27+bqK66g/4ABjHj8cSLCwhhZWIgBUoDsoiKu2rmT\nzF276PXFF3z9zTelEuv27dtZsmABv8OeNZoNTDeGdR99dMbkDVAvNpbjJUbdZAANGjRgwcmTNHQ6\nOVxYyLg//IF27dqd34VQqgbRiTxVaNCgQWRmZbEnLY0Dhw6Va4GIzMxMYvz+4gtVF8jNy2PHrl30\n8vn4DHgYu0viVEVBD7A7IoLOXbqctr86derwyquvsnDpUsaOG4fD4WD//v3c0Lkz8d268fTYsaSl\npZGyfj0D8vNpBnQXoWFREbuWLmXo4MHUbdiQdU4nh4HNQAL2IhDXiXCF18uin60XeuTIEeo6nbgC\nr2sBdSMiiI2N5WxGPfEExxo0YInbzYqQEJYCeceP48nLY09ODnWio7lnyJBzfn5K1WSawKuY0+kk\nNja23AsS9OzZk93YMzXzgLVOJ/HXXYcf+0FeOHbhqtsDbV4Bpjkc9B8yhHvuueec+/f7/fTr0wdr\n2zZGFxRwbVoa9951FyLCqfmagj3p5moRmnm9DBs+nPq33MKqxo0xoaH4S+7PmNPWpOzQoQMZfj+7\nsB+cbgFC3O4yF7iIiYlh67ffck1CAntDQ3kIeLyggD5AE7+f9unp9L/5ZvQBubqUaQL/hWvbti3z\nFy1ifcOG/L/wcGrFx7Nk+XJeeukllrnd+IB/YddBuRk7QVphYcydO5eJf/zjOfd/+PBhfjp4kO4+\nHy7gSqCJw0Hv3r1ZaFlsxV6NvhC75ndRURF79+7lg8WL+c+BA/zxT39iqWXxb2BDSAh73W4SEhJK\nHaNu3bqsWLWKjY0aMdkYUlu0YPWnn551ablToqKiuKxRIzoUFHDqScGV2EW7uoiQfugQx48fL/+H\nqVQNo8MIg9jatWtJSkriw8REMrOyCBGhg99Pf+xRJHMjIpiXlESfPn3Ouo/c3FzqRUczsrCQ2tgj\nU2ZHRLAgOZl/f/MNM994g/T9+7mxqIjj2A8gG1oWsW3asOGrr3C5XLzzzjskffghMfXq8dzEibRs\n2fKsx/P7/ee1HNr8+fN55tFHuS83l3Dgc+yFHfoB77pcZGVnn/M5glLBqDzDCHUiTw2Rm5srTodD\nngX5I0i3wIzKKMuSGdOnl7ntlMmTJdayJN7plMsjIuTuAQOKZ3b6fD55depUiXG7pTnI7wMzKtu5\n3TJt2rRyx+fz+WTDhg2ydOlSSU9PL/d2fr9fHh02TGq7XBIdGirhxkg7y5Ioy5K5c+aUez9KBRt0\nIs+lpc3ll9Nx3z6OAGnAndgLLiyxLN5KTKR79+4cOHCAuLi4UmOuAVJSUtiyZQvNmzdn8ODBp90l\nN6pbl4TMTKIDrzcAXcaP55WpU88Zl8/nY+Btt7Htq6+IDgnhJxE+WbOG6667rtznlpaWRlZWFocO\nHeLw4cNcc801XHXVVeXeXqlgU547cE3gNcjmzZu5tW9fvNnZDBGhSeD9fwK5N9zAlq1biQoLI9vn\n44NFi+jXr1+59z144EB+XLmSWwJVDhMti38sWFBqlubZzJ07lxcfe4yhubk4sNfT/K5lS3b8bJij\nUuq/dEm1Gszv91NQUFDqvS5durD7hx9o0aYNx0q8f9zhYNOmTfw2P59HTp7k7txchgweTG5ubrmP\n9/d33yWia1dedjiY6XQyZsKEciVvsNf9bJSXx6mxKXHAwfT0ch9bKXVmmsCD0NSXXybC7SbC7ebm\nG28kq0QNk5iYGGa98w4plsXq0FCWhYeTGhlJY8uifqBNFOD3ekm46y4SExPLdczo6GhSPv+crOxs\ncvPyeOrZZwH7GcpXX33FRx99RFpa2hm37dKlC7tdLrKxhyRudjjoVGKBCKXUhdEulCCzYsUKHklI\nYKjHQyT2wsAt+vdnwZIlpdrt2rWLZcuWER4eTnx8PH179uTBvDycwCzgaqA+sNmyGDtxIv93/Pjz\njkVE+O3997Nm2TJiHQ72FxWxYMmSM9binvTii0yeNAlnSAhxcXEkr1uny6ApVYaL2gdujHkVe/5I\nAfZyh8NEJOsM7TSBV6Lx48ax9S9/oWfg9TFgUb16/HT0aJnbzZwxg6fHjycMaJifz6kpPkeAD6Oi\nOHIB46lXrlzJI4MH89vcXMKwV975JDqaw5mZZ2zv8XjIycmhfv36lbIknVI12cXuA18NtBORjtgr\naz1TgX2pcrqsSROOulzFa3T+BDQsY0r6KSNHjWL77t0kPPQQkSUqFIYBhSXWoTwfaWlpNBbh1HSc\nZkDGiRMUllhzsyTLsoiNjdXkrVQlueAELiJrROTULOpNUDzoQV1EI0aMwNmqFYmRkSyLiCAlMpKZ\ns2eXa9umTZsyZswYvg8LYwv2HXNSeDiusDBaNGnC6Mcfx+v1ljuWa6+9llQofmC62RiubNWqVAlb\npdTFUyl94MaY5cB8ETntiZh2oVS+/Px8Pv74Y3Jycrjxxhtp1qzZeW2/ZcsWnh47lvSDB9m7fz/9\ni4qoB2xwu+k5dCizyvkfAsDfZs1izOjROENCqB8bS/LatbRu3fo8z0gp9XMV7gM3xqzhvwuNl/Ss\niCwPtJkAXCMig86yD03gv1BTpkzh4+ef56ZAF0oW8F6tWhwLrNhTXl6vlxMnTlC/fv3zmiavlDq7\nCq/IIyI3neMADwK3AWcvtgFMnDix+PdevXrRq1evspqrKmJZFp7QUAgk8BzA5XKVvdEZhIeH06BB\ng3M3VEqd1fr161m/fv15bVORUSj9gNeBX4tIRhnt9A78F+rYsWN0at+ehseOEVVYyFbL4pXp03n4\n4YerOzSlLnkXexhhKvYghlNjxjaKyMgztNME/gt29OhR3pwxg8yMDPrfcccZx3Arpaqe1kJRSqkg\npbVQlFKqBtMErpRSQUoTuFJKBSlN4EopFaQ0gSulVJDSBK6UUkFKE7hSSgUpTeBKKRWkNIErpVSQ\n0gSulFJBShO4UkoFKU3gSikVpDSBK6VUkNIErpRSQUoTuFJKBSlN4EopFaQ0gSulVJDSBK6UUkFK\nE7hSSgUpTeBKKRWkNIErpVSQ0gSulFJBShO4UkoFKU3gSikVpDSBK6VUkNIErpRSQUoTuFJKBSlN\n4EopFaQuOIEbY14yxnxjjPmXMWaVMaZRZQamlFKqbBW5A58qIh1FpBOwAni+kmIKKuvXr6/uEC6q\nmnx+NfncQM/vUnDBCVxEsku8jAT8FQ8n+NT0f0Q1+fxq8rmBnt+lILQiGxtjJgMPAFlAr8oISCml\nVPmUeQdujFljjPn2DD8DAERkgog0A+YBT1RFwEoppWxGRCq+E2OaAR+LyNVn+FvFD6CUUpcgETFl\n/f2Cu1CMMa1FJDXwciCw80ICUEopdWEu+A7cGLMIuAL74eU+4Hcikl55oSmllCpLpXShKKWUqnpV\nMhOzJk/6Mca8aozZGTi/JcaYOtUdU2UyxtxjjNlujPEZY66p7ngqizGmnzFmlzEm1RjzVHXHU5mM\nMW8bYw4bY76t7lguBmNMU2PMp4F/l98ZY35f3TFVFmOMyxizyRizLXBuE8tsXxV34MaYWqfGjRtj\nngCuEpHHLvqBq4Ax5iZgnYj4jTEvA4jI09UcVqUxxrTF7ib7GzBORLZWc0gVZoxxAN8DfYGDwGZg\nqIic8TlOsDHG9ABygDlnGlgQ7IwxDYGGIrLNGBMJbAHurEHXzxIRjzEmFPgCGC0im87UtkruwGvy\npB8RWSMip85nE9CkOuOpbCKyS0R2V3cclawrsEdE9olIIfAB9oP4GkFEPgeOV3ccF4uIHBKRbYHf\nc7AHUFxWvVFVHhHxBH4NA5yUkS+rrJiVMWayMSYNuI+aO+3+IeCT6g5CnVNj4McSrw8E3lNBxhgT\nB3TCvnmqEYwxIcaYbcBhYLWIbD5b20pL4DV50s+5zi3QZgJQICKJ1RjqBSnP+dUw+uS+Bgh0nyzC\n7mLIqe54KouI+EXkV9jf5q8zxrQ7W9sKTaX/2UFvKmfTROBjYGJlHftiO9e5GWMeBG4D+lRJQJXs\nPK5dTXEQaFridVPsu3AVJIwxTmAx8L6ILK3ueC4GEckyxnwK9AO2n6lNVY1CaV3i5Vkn/QQjY0w/\nYDwwUETyqzuei6ymTMr6GmhtjIkzxoQBCcCyao5JlZMxxgCzgR0i8kZ1x1OZjDH1jDFRgd/dwE2U\nkS+rahRKjZ30Y4xJxX7YkBl4a6OIjKzGkCqVMeYuYDpQD7to2b9E5NbqjarijDG3Am8ADmC2iEyp\n5pAqjTFmPvBroC5wBHheRN6p3qgqjzGmO/AZ8G/+2x32jIisrL6oKocx5mrgPex/lyHAAhGZdNb2\nOpFHKaWCky6pppRSQUoTuFJKBSlN4EopFaQ0gSulVJDSBK6UUkFKE7hSSgUpTeBKKRWkNIErpVSQ\n+l8SXUMsatLF4QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f90210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "y_pred = KMeans(n_clusters=3, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2931.625030199556"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metrics.calinski_harabaz_score(X, y_pred)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FCtWiUSP1cIMGav78+bd1L77BobKLfKZoTvpRFSxX8YZto6KilKNQsauVlYuj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\nABcRCSkFuIhISCnARURC6v9YNXPQBX5DhAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1375c1b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "y_pred = KMeans(n_clusters=4, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5924.050613480169"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metrics.calinski_harabaz_score(X, y_pred)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bzcZzI0Yw7bnn6IlUFq4EfgE69etHlapVWZ+aSurq1ew/eJAwi4XcYJCwYJBk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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12016950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import MiniBatchKMeans\n",
    "y_pred = MiniBatchKMeans(n_clusters=2, batch_size = 200, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3116.1706763322227"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metrics.calinski_harabaz_score(X, y_pred)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FLpE8Bg4dOsSWrVvw9vLmhRdeKAhjO378OE1bNaXqiMooGoXjM2Jwd3enZLfi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x136a59f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import MiniBatchKMeans\n",
    "y_pred = MiniBatchKMeans(n_clusters=3, batch_size = 200, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2827.3884139215338"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metrics.calinski_harabaz_score(X, y_pred)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1a9fbYWx79+6lWt16JLTuBSYTXvOn4uPtw/XaLUkrXQ2vrz6kjIcwbsRbVKhQ\nAYvFwohRoxm5ZT9M+hoMA+ZOhsUz6FCpNPny5GH/wYPsOnSESxcuYHJ3x2GPx+HlA6+MhMvRMHMC\npKYSEBxMQngEKXO3qEGK4F49BJPTSVK/d8DdA68pQ1nwyXSaNGkCQKGSpTlapx10e03VOXGUkD6N\nuHTy+F3fOyUlBTc3t3tGn/weESExMRGr1YqIEB4aStUrVyiMOrx4ttXK2i1bKFWq1H3nevzbb5No\nt9O5Z0/atm37QP9G/zR0FIpG8w9gwYKFYg3JKkaPoeLZoJXkLVxUbt68KSIiz7fvcKfbo81LYi5Z\nKf1+d4Lg5i62iIJSoWYtSUxMlBe69xDe/DC9zMJdgm+AeGQJFc+W3cXw9RdeHCKsPSOM+ETw9hNM\nZsHNXTCbhRz5BN8AoXRVIVtOYV+KamfrVcHdQ6ZOnSoNW7WR+s1bysqVK2+/x5YtWwSTSajbQjjk\nVHXenim5Chd7JPO2c+dOCQkIkGw+PmLz8JD3Jkx4JP38U0FHoWg0fz+hufMKX2y9Lbhe9ZrLtGnT\nRESkTtPmwvh56WL84hAxl6h4p4B7egnbY8S9dBWJLF1WilaoJB658wvbrivxrd9K8LIJG88La04L\nWbKlC+yueME/SKhYW/3NGSH4BQqNOwhWH/WsZCXhlVFCeB7B5iuGj58sXLjwjndYt26deAVmEcwW\noUgZJf71Wgo2Hxk9evQjmzu73S6HDh2SK1euPLI+/qk8iIDrKBSN5hETfzMWwvPevk/NnpfY2FgA\nurdtzbbBw7CHZgeTGa+1i/BMSSLuf4NIK10N5n8IdVvA0X2kHD/CLwPfBYsF8/9eg6rBYDaDmztY\nvSE4G8TeAHuc+usfCCvnQURRiIuFge9Ci+4QfxM6VlXfJyfBb0egcBkY8C78tAY59Qsde/6HyMhI\nSpQoAcB/3xlP4pApsHsTnDgKparAb4cJ9PWhV69ej2zuvLy8KFKkyCNr/4nnfgqf0QttgWv+5bTq\n2Fk8n20trDsrzFwv1iwhsnv37tvff/LpDMlXopTkLV5Spk77UPbv3y8eAUFCcDahWAXh5yShfus7\no0PGzxPyFBR6vCF0GqAScsbMEg6kKRdHeB6h6yBlmTdsL1i9hZ9upNfvPFC5VKo3VNb3reerTygL\n3TdA/MLC5bvvvhMRkZJVawifrBb2pwr9xwqFSkn2yEJy5syZv2tan3rQLhSN5u8nPj5e2nTuKr6h\nWSW8QMH8QL3/AAAgAElEQVT7JpCMHDlKLG3+I3z/mxAUKth8BB9/YeSn6UL73kL1rGg5ISCL4J9F\nyJ5HMAzl135llBLvRi+o7/MUFN76SNX96YaQPbd67uYuVK4nHHSk/zCEZBfWnBJ6jRCs3uLmZZX8\nJUuLV75IYc5m4ePvxZot/A7/uCbzeRAB11EoGs0/jEGDh/BejAWWzYbIEjBoAqxaAHPeh/9+ABY3\neLs3tHkJ+o0BewI0KwblasCqhbD9Bmz+HoZ1gs83qRDCMb3hzG/gHwQ3Y9TG2L4B4O0HF85AWE4I\nyQ47N0KnAfBcW+hWCyYtggLFcZsyjJyHtmFYLFjMFoa/OoC2bdvc71U0GUBvZqXRPIFs3bqVGs8+\nhyM5GTacV75qgP88C78ehNAccGA7fL0HchWAH76GWRPg7AlIS4OQMLh2SfnGu7wKvUeo5y/Wg71b\nwN0DqjaA9xaqo9cmDoaF06FWUyhSFj4dB/mLQY48MHy66jspEXNFP1KTkx8oJFCTcR5EwPUipkbz\nD6NKlSqUL1een3bvgasX0gUcwNsXTv0CHp7Qv4WypoOygiMVTGbwdIcrF9SC5rVLMGcSrFkCMVdV\ngs76czCuP1R7Vok3QLXnYO1SeGeOus9XGAa0gktn1dFshgEnj2ILCNTi/Q9DZ2JqNP8gbt68SauO\nnTmwf59yb/RsADPehSEdVbTIuVNKVL89AqtPgCNNiXdEEVj1K0z/DrxsSpQbtgenEzr0hbLVoc3L\nEBQCBUvCt3NVBIrDAV9Nh6DQ9EGYLWAYuF+/hLVHHdzeHYC113NMmzgRgKtXr1K2anX8cuWlWPmK\nnD179u+ZLE3GXSiGYcwEGgKXRaTYXb7XLhSN5gGp1bAxm90CSesxDMb0gZ0blM/bkQrunsotEhgC\nletC9YbQ73nAgOVRyo8N8P4w5SbpNRz6t1TlI0vAwo9Uyrxhgk7VlTvG3R2y5oATvyhfe2h25VKJ\nKEKOs1GMfmMYV65coUaNGpQpU4ZDhw5RuW59EkpVg6adYc1iPDYt5/rZ01it1j99N83D8Vh84IZh\nVAPigTlawDWae3Px4kU2btyI1Wqlfv36eHh43PF9SkoKXt7eOHfGg9MBR36GyW9gPrwLc3geUirV\ng0WfQqMOkCsC5r4PAcFw+jh8sAwqPKMaGthaxWl37AfjBkD0SUiyw+E9kJKsRPrGVcgZAdGnwNML\nPK1w+TxEFlc/DOdOUCH6ENu3bmXfvn0079CJU79EIZ42QGDbdRWDLgL18jDz7eF07dr1sc/p08xj\n8YGLyGbDMHJntB2N5mlm//79VK9XHylRGbl+idxvj2X7hnV3nBZvsVgwmS04o/bCG53ByxuuXcKB\ngWPiIpWUU6spDP9IVShZGXrWV9Z532bQqqdKstm3Dbq+BhtXwDefQ2qysuLNFhV5YnZTi5X5iygX\nyxeuhc3Zk+Djt5Wox15HypYhNjaWWs815EbfcVCnuRrDuwPUJljePkrARXA6nX/LvP7byZQoFJeA\nL9cWuEZzd8rVrMXu2i+oTEgRPF5tzZvVSpElSxDnzkVTpUplGjRoQJ8BA/hg1hxo1wv6jFbRI5UC\nIWc+OHYAOg9Urg5Qlne7iuDjp/b2ProPMJQlfvpX5XK5GQPubvDBcshXCEb0VGK+axNcPAs9hkLP\nYaq9cyehTXnYchns8Xh1rclrLRrx/tKV3FywO/1l6uSCHPnghT6wdgnuW1Zx/ezpO36MAH788UcG\nvjWC2Js3ad2kMaPe/C9ms/nxTPhTwD8mCmXEiBG3P9esWZOaNWs+jm41mn8M58+fhxIV1Y1hkFy0\nHFNmfExstjwkl6iEqcuLNK1eFR9/1wELzzRVfy0WsNqg9vMw+jN4sS6UqATheWD8q9CsM+xYD6eO\nwQffKr/2ynnQ7XV4f6gS/Pib0NZ11mWpKmCPV6GG9nhY/gW0fwVsPrBkpvKVGwbYfEis04JZX8wi\nNS5OpeL7+EHMdVXv1C+YR71ERHh2Vu3Z9QfxPnjwIM82b4F9yFTInpv3J72O3Z7IpPF/PJBBo9i4\ncSMbN258qDraAtdoHgNtu3Tjm5tC8ohPIeYaHu3KIz7+pCzaq8L5Lp6D+nmwuHmQ5mmFei3gzQ/h\n6iWoHQ77UlS5FfNUEk9odnimCbw8HBoWgLgYJcqV6oJfIHw5FYZNhUbt1QA+GgXRp9U+Kfu3Q0Kc\n+kH45nP1A+Djr4S+c394ZZTylXeugensb5QuXIioy9ewl6mBbFiOmyOVPNnD2PzD94SEhNz1fUeO\nHMWoswk4B76rHpz+laCedbh69vTjmfCngAexwHUYoUbzGPh48iQqJl7GUt4HU50cBLmZSAvJnh6L\nHRIGhok0Ty9lqR/eAzXDoH5e5bs+dlCVq9tCLR4GZ1ObVL3SWC1IjpoB732l/NeH96gQwQM7lCiD\nChMUJ7z2HsRcgwHvQN3mMO1beOtDZVVHFoNFM1RWZ60ckJqCs2F79h88wAfDXmNC2Xx8+vZw9qxf\nw6FdO+4p3gBeXp6Yb95IfxB7Hff/t2iryTgZdqEYhjEfqAEEGYZxFnhLRGZleGQazVOEn58fa5cv\no3yNZzhiC+F80QowfSR8/xUUrwCz/qeSc0pUhCadoHYzeDYCRn2qBPzFulC+ZnokyeHdcGiXWkxs\n2QPqt1IdjZoBdXLC893g7HFoXhLyFlILm2G5Yd1S8LLC8cPKCrf5KF+5YcDM9ZCaqnzpI3vCq+Oh\nUh0cTifHfzvB26NHPfD7durUiXcnlyV2/Ks4sufBOud/jBrx1iOZ238zmRGF0i4zBqLRPO3s2LGD\nX6/eIPnjTcry/m6eStBxpIFPgIoIyVtIpcafPw2x1+HkL+r0m1vZkdcuqWiTstVhwYew60f17BZX\nL6pszbc+VPcDW8Ovh2DuZojaC6NeVj8Im1fBd/Ph2bbK9+1IU31FFofSVVQEjAtnlqzEJ8Y81Ltm\nzZqV/Tu2897kKVy/cohWH31Ao0aNMmMaNb9Dp9JrNH8Bh8OhNtS3PPj/hVJSUjB5+yrx/mmdigL5\n5iBkzwPj+ql09htXYf8OFUUyeJLyT3erDdOWqzjtfIVhsMqIpHI9qOAHR/bAm90hT0G1J0r7Pumd\n5i8GoeGQv6iqHxAMi34GvwD4YgpMGgrPtlGWeMeq8NKbEH0S4+xviLsHrP8Wr3lTaPPtNw89R+Hh\n4UyaMP6h62keHC3gGs1DICIMeH0I06ZORkRo0aYdcz79+A9JOXejfPnyeMdeIeHDkTgunFEhhbkL\nqC9fHg7L5sCaxZCUCMsOKlFt3g2aFcPcKBKH1VvFXd/CMNRVtDycO6F2IkQg6me4dhkunVPJPsOm\nqPInj0KlOkq8QW1+1aonDJmk7guXgfEDMaWlUqdmDY6NfwWbzca7n8+kUqVK7N69mx9++AF/f386\ndux4+1xPzd+HXsTUaB6Cjz7+hE9Xrydt7VkcW66x/MwVhg0f+UB1bTYb2zesp/6lIwTvWquiQW4l\nwBzZoxYnv9ymfOEeXuq5YWANzMLY/w4jyF1tKsW4AbBhObRwHe67eRUc3AU1GkLF2iqipFEk9Gmq\ntpJ9bzB8/h5sXA5bvlehgKDiyvNEpg8wRz6VlBNZgh/Wrad9k0bUrFyZlwa9Tu4ixalSpy5vHb/B\noGXrKFmxMnFxcXe8n9Pp5OrVqzgcjoxMseZhuN+G4Rm90Ac6aJ4imrRtL4z5PP1ghVkbpGilKg/d\nTlJSkpSsVEUsRcuqsyW9bOoA4kNOoWoDoUFr4cttYu4/VoJz5pKZM2eKydtXqFJfiCiqTtjxDRB+\nOKnG8fp7gs1XCAlLP3nnq93q0Icq9dUhD3Waq79eNnVij6eXOvVn0V51Ek/RskK1Z1XdT1YLVm/x\nqtZAWLxPmPi1Oqln2SHhsIhn/RYyderU2++za9cuyRKeQzz8/MUWEKgPe8gEeIADHbQFrtE8BDmz\nZsUtas/te9ORPWTPmvWh2/Hw8GDHxvUsGDGEaU2fwd/XR21UlZQItZrivmMdEf/rQ53Te5j7ycf0\n7P0KztrPQ7MuaptXswVqNobsuVWD7fuoGO/4m/BcfrV3eJeaKitzylIVfrj1e0hNgbdnQc83lKXu\nG6DS8DtUgTyFlCsGoPwz4EgjceQMKFgC6reExh1h00oAUnLk5/p1FSaYnJxM/abNuPrqJJK33SDh\ngxW06tRZJS9pHinaB67RPARvDRvC0kpViO3dEPGy4bZ3C1M2bfxLbbm7u9OiRQsAqlatqjaMGtmT\n3JGFWLJxPcWLFwdg6tSpSO5ItRXs2D4wZ7M6RWfiYCX4nl6wa6OKDbe4qX1QsuWE3iNheA8o561C\nBT084fWJ0MAVcugbAFPfhDWn1H3UPrXHOMD8aepH4vpllTQEqk//INizBY9ls6i/fBkAZ8+eJdns\nppKPAEpWwq1AcQ4dOkRYWNhfmhvNg6EFXKN5CIKDgzny825WrFhBWloa9WdNJTQ09P4V70Px4sU5\nfmDfXb8LCAjAzWTgWDILChRTV/6i8MMiaBABeQvCwZ0wdRksnqHCCtv3VpXLVlcbVXl4wS/7lSDf\n4vpluBQNX32stpR9px9cuwhlvVVYoQH0agydB6hU/Z/W4LlzLf4rZzNl2gdUqFABgJCQENJirqvI\nmVz5IeYaKb8dITw8PMPzovlz9JFqGs0/nKSkJMpVr8nRqzGkXb4AK48qaztqH7StoMISZ66DUpVh\n71boXhcKFFcn8MTFqIVR/yCoFQ4JN6HLIGVdz5sKIeHKgj9zXIl425fh608gORGad4cZ76i2SlXB\ne+M3rPr4A6pWrfqHMX4y4zMGDHsDc+kqOA7u4pWuXXj37QdP/NH8EX0mpkbzlJCYmMicOXNYtGwZ\nm3fswr1AUZKP7KNbh/as3rCJ6AKlSYkspaJNnE4V0RJ/E6rWhwnz1X3bCtjO/0aCd6DaTjYoBFYv\ngna9YelMWPmL+jFIiIdnwuCHk3DhLLz8HJbm3ci2fhG/7N+Ll5fXXccYFRXFwYMHyZs3L2XLln3M\nM/T0oQVco3mC2LJlC7t27SJXrlw0a9YMk+nuMQbHjh3j5MmTFC5cmBw5chAbG8vkKVOZ8ME04oPC\n1Gk9A95R+6F0q63uA4IxJg3h1d4vM/G79ThNZuVquXYRMPAqUorEL35SHTgcUD1UJRk5HBiNCtKo\ncWM+mvg/smfP/vgm5F+OFnCN5gFJSEhgwYIFXL9+nYiICAoXLkz+/PnvKaKZzXvvT+atCe+RVqsZ\nbvu2UadIAZbO//KhDhEuWLY8v1y6pqJOItUCKF9Mgcn/BbOJsUMH07ZtW4qXr0B8r1GQpyDW6SNp\nU6oQq75fzZXGnXFUrAvzPlB7pYz+DK8pw2hXLD9vv/kG0z/+hHi7nRbNmlK5cuVHNBOaWzyIgOs4\ncM2/nvj4eClVsoDUreklucKRkCxIWFYPqV+vqtjt9kfev91uFzerVVhzWsVg700SW75I2bx580O1\n89VXX4vJL1DoNdzVTrJQqY4w5H1h6jeSq1ARERHZu3evPNOoiRSuUEn6vTpIkpOTZcOGDeIRGCxG\nQBYxbD4SlDO35C5aXPoOel1OnjwpQdnDxdKul/DKKLEGh8q33377KKZC8zt4gDhwLeCapxq73S4H\nDhyQCxcu3LPMBx98IM2e9ZJeXZDu7RDHOST1DNKioae89ebQRz7GCxcuiGdAkEricSUI+dZqJEuX\nLn3otr788kuxZgkRc+78KknnmSbCvhRhyxXx8vO/Xe7D6R+Lu81bPAOzSHhEAclfopQYw6aq/rde\nFVu+SFm1apWIiPz3zbfE0r53evLS9O+kQOmymfb+mrvzIAKuE3k0Ty0HDhygQP4ctGlZhUIFc/P2\n6LtvZ3rt6lUKRSRx5Bi0barW8SwWaNUoicOHdt+1TmYSEhJCWFgYps/Gq+1hN6/CeWAH5cqVe+i2\n2rdvz9Uzp5g8qB+eJgOGTAaLBcvn71GmgjoR6Oeff2bQ8BGkLNpH0uYrRLftx69HDiNNOqpG/INI\nrtqQAwcOAHAzIYG04N/FcweHkRAfn+H31mQcLeCap4bvvvuOPLlDsVrdaVC/Kq1aNmTM69c4sjGO\nXzYnM/Ozifz4449/qFe7Th0+/9qLLIGw+Du1X5TDAd+s9qRgoZKPfNwmk4l1K76l2PblmCv5k218\nX1Ys+vovLxh6eXnRu3dvRg9+DbdmhXEr70Phg5v46vOZAOzZsweqNFDnbALS5iWVBbpphWrAnoDH\nrvXkz58fgJbNmmKdPxW2rYFjB7GO60vb5s0z/uKajHM/Ez2jF9qFoslE4uLipHOnVhKWzV+KFc0t\nq1evFhGRqKgoCQr0knHDkI/GIZ3bmMVmRX7divTphnRujdSp7ibTpk27o73169fL+PHj5ZVXekvW\nUF/xthmSO4dZ8uW2Sc0a5SQ+Pv6hxvfhtKmSM0eQhIb4ysABvSU1NTXT3v2vkJKSIjExMXc8W716\ntdjyFxZ2JyiXyOxN4h0YJP5Zs4lf6UpizRYuHV/sKU6n83adxYsXS74SpSRbRAEZOHjo3/5e/wZ4\nABeKjkLRPFG0a9sUU+pqxg5J5sgx6NTPysZNO9m6dSv/G/cyVi8nRQvCD5vgyjUICoCXOkGucBg+\nAeLtFgID/alf/1ly5szHjE/H83yDFLbu9iBX3pp88eUSDh48yPr164g6sofAwFAGvjrkgVLCly5d\nyqCBHVjyqR0/X+g60EqN2n0ZMfKdRz8xD4GI0KnHf1i6Zh3miMKk7d/Oki+/oEKFChw4cICgoCAK\nFy78UBEwmsxHhxFqngpEhJ07dxIbG8vzzzciek8q/n7qux6DYMW6AJ6p1YB9u+ezfy24ucH2PfBM\nS+jYEj6ZoMru3Aut/wNuFvD3g32H4eR2CA+DlBQoUdfGpzO/Z/eu7Uyb+iY9OyRx5ryJeUusdO7c\nneo1atK0aVNiY2M5ceIEVqsVh8NB3rx58fLyoseLL1A6Yh4vd1b9/bQb+o7Iz649x/6eifsTRIQd\nO3Zw8eJFypQpQ44cOf7uIWn+Hw8i4HovFM1j5+jRo3zzzTd4eHjwwgsv/OnhuA6Hg7ZtmrB/3ybC\ns1kwSGP1RmjTVPmqz1+C1o1uMGP+Ip5voMQboGwJSEkFXx8DUAaEjzfciAF3N7h4Rfm5G7wAX0yF\nkkUhODCBzz+fxYL5s/Fwd/DOVBBxUjh/PL6myQwaMI0F8xuzdu0PBAelcepsMoH+HmBY+WbZavz9\ngzl+ygKkAXD8FPgHBDzSufyrGIZBxYoV/+5haDLK/XwsGb3QPnDN79i2bZtkCbJJvxct0rm1h+QI\nzyLR0dH3LP/5559L1Qo2ST6FyHlk1iQkwM+Q//ZDWjZEShRG4o8jRQpYxM8HObhehQG+NRCJyJdV\nsgRZ5fP3kQ2LkFJFkZ4dkaAA5MsPkORTyJwpSFgosuAjxOqF+PkgXp7Ij0tVnby5VEihnEcuH0Tc\n3JAf5qv7XzYjWQKVzz1njmA5e/as5AjPIl3aeEj/HmbJEmSTbdu2PcbZ1TxNoH3gmn8adetUoFPT\nnXRsqe4HjjBj8e3D+AmT7lp+xPDhOG6OYvTr6v7CJShc05P4hGQ6tBCmjAabFXKUNdGumZNPv4Sk\nJGVtJ6dYyBYWisUMFy9EM/gVqFEReg2Fn39I7yNPBbh8Fd7sD0GBMOUzOLge2r0MZ87DVrVrKiLg\nWwCObYFsrg0Ia7eGwb2geQ83oqOvkJyczJdffklycjLNmjWjYMGCj2gmNU87D+JC0WGEmsdKzI0b\nROROv4/I7SAm5so9y5cqXZrF39m4ek0J6LBxBikpSZQtLqzeCNWeh7ptrVjcfMiTE94ZClkCoU83\nqFMtDQvR3Iy9RkKiiR7tITQYzkQrVwrAtetw9Rp0bglD+kCdaupH4uJl2LUPfj0Bs7+CM+dg8BhV\n50y0+nviNBw4Apevgc3mha+vLyEhIQwYMIAhQ4Zo8dY8eu5nomf0QrtQNL/jrTcHS83KVjm1E9m3\nBsmb2ypLliy5Z3mn0ylvDBsk3t7ukjXEU7xtyLJZyoWReAIpGGFI3bq1JWeOUPHzQfz9kDGDEWe0\nuupUQ7q1RUqVjJBihb1k7FAkOAuSPSvSswOSLxdSoggSmU+1KefV8wA/JDgI+WQ8UqkMEpZVlWnW\nQLlg8udVLpeIvJ4SnMVb1q1b9xhnUfNvAO1C0fzTSEtL4/XX+jFv3hd4eLgxePBwevXuc996N27c\nYNasWQwZ/Co3joKnB7wzFWbMg5hYSE2Dz94DXx8YMBwGvQw9XoDuA1U4YfZ8XSlduhJr1nzPhg0b\nKRp5neYNoHABqFIOvCPgpc6QO1y1azbBjVjlinlzgLK6F34LO1eqg+DzVoQ0B1SqVIUcOXIwceJE\nsmXL9hhmUPNvQYcRap4qVq5cSaeOjRnSW7h2A7bshHHD4MQZ6Psm/LQcCuWHtT/C0Hfgjb7QoQ9Y\nzFC4SCkOHjyAm8VBUjIULwRrFsLAEbB+K1y9Dgl2iMgNAf7Kj378FHh5mmlSz8HilSrNvtmzykd+\n+BflN29SD67dgF37LWz7aT+fzfiQo1H7KFS4FMNHjMXHx+dvnjXNk4rejVDzxHLixAl56aUXpV69\nZ+Ttt9+WhIQEadK4jmQNMYm/H2KzIse3pbs9+r2IjBmiPn/7uXKB+Pkgbw1AXuqEFM6PxP6i3Cr9\nuiPeNiRnGNKmCXJ4o4pG8fJE/HyRGf9DPhyL+NgQiwUJ9Edmv6/aCwtFhvZR0SfT303vv1s7JCjI\nWzq39pBls5COLT2kerUykpaW9ndPpeYJBb2ZleZJ5MSJE5QrVxQv5wxqlN7AhHf/S0REbuKub+PM\nLifXDoO3FW7Gpde5fgO27oJPvoDO/cCeCPlyw+u9lbula1vlXjEMsFpV5Er0Rfj8feVG6dgSGtaG\n4EDYHwWDRoOnJ3i4qXjyrgPV38AAGDtUxZCXKpref7kSkJaawMyJyTSpD5+/n8zZM0eJiop67POn\n+fegBVzzjyEuLo79+/czYcJYure1M3EEDOsLMydBWsoV6lSz4+amdgvs3RUadoSP58KgkfDDj3Dp\nCoyeBN3bwaYlyh3y5njIkQ0+WwDjp6nIkimfweal6pSxK9dU3yJK0M9fgh0/g5cnTB4F3jaYPBrS\nzsKyWXDilOovKBDemgBx8XA2GsZ/CCaT+fa73PIa6nR0zaMkw5mYhmE0AN4HzMAMEXk3w6PSPNXs\n3buXkcMHcePGNZ5r2JJBrw1l69attGrZiOAgOBudwKjX0suHZlFiO/UzEwF+Trq2gbPnTcTbTbw6\nMo00B4gTUlOVuJ88C616Qq2q8P0GZS2HZFELkXXbKus8LCs8WwuqNIW+3WHHXjh4FA5tgDw5Yf9h\nqPo8+NigW1s1jro1IDICvl2j2tt/GAIKqQXPfPny4G/E0bn/TVo1TGHRSg9y5CyoQwk1j5b7+Vj+\n7EKJ9nEgN+AG7AMKifaBa+7B8ePHJTiLt3w0Dlm7EKlcziqvv9ZfQkP8ZPU85U+eO1X5sFfPQ3Z+\nhxQvrHzeL3c2pFIZxNdb+bD/21/5tA9tUM88PNL94lcOKt91lgCkcjlVTs4jO1aqthrVQd4erHzj\n3jbE1wepXDbdpy3nkazBiIc7cnqnuo85igT4q/DByHyI2YR4eiDeNouMfh15vRfi62uRGtVLyqBX\n+0hcXNzfPd2aJxge9Yk8QCXg+9/dDwGGiBbwR05qaqokJSVlWnvXrl2T5cuXS9OmLSR79rxSqlQF\n2b59e6a1f4vx48fLK93cbovkie1IaIiPZAnyvEM8y5TwlOAsbuLrSm3/abl67oxWcdkmE5JyOr18\nsUJIaPCdAlyqKNL+eeQ/HdOfxf6i0uH9fJDGdZGaldXCZd9uiI+3SsWX88jKuUro8+RAsmdDurRW\nsd+B/mpxc9wwlbK/dZmKPb/1wzHhTaRL59b3nYfExMRMn1vN08WDCHhGfeDZgbO/uz/neqZ5RIgI\ngwcPw8vLhs3mQ4MGjUlISMhQm3v37iVfvkief74Ty5YdIDq6Hnv3Zqd27QacOHEik0ausFgsJCal\n/8/OnghubhYwLPy4XT07fxHOXzKxbv2e/2PvPMOrqLYG/J7ekpOeEJKQUEKXXkIvSm/SpVgABS6C\nqIhgA0Sw4L1iBbv0JkWKgCBVIIiAghBK6CAEEkg/Kaes78c+BBCVKFw/vZ73eeaBM7P3nj0zsGbN\n2qtw+YoTQU+VCuqYRgPVq4DVouzZoP48dx60Gli2Ru3bvguOnVQ+4nOXwrZvVfTlyHFg94Pxo2DF\nTNi0GHp3hg3bweNWJpXYuiprYf2akJkN45+AhnXh3jaqr9OlFke1WrW/fk1o3h2+/FqZVvLyfr1a\nzZ49eyhbJhJ/fxulYsLYvn37Hb2/Pv5h3ErC/9YGdAc+uu53f+Cdn7WR8ePHF22bNm36E95d/7vM\nmjVLrNZogacEnheTqYYMGPDIbY1ZocJdAvcK6AXGCkwQmCAWSz2ZNm3aHZq54vz581IyMkieG6mV\nGW8ilcpbZfKkF2X+/PkSEmyVerUCJCTYLP9+/eWiPp06tpShDxgl47DSeIMCkCcHKw25ZyckOhJp\n2ViZR6IjlUZsNimTxtUEVRFhSpO3+ykteuuya1r5p28g1Sohjw1CnhiMrJqFtGqGlC+j+tr9EaMR\nCbQjPToqDf7QFq6LBkVee05FaEZGmGXpkiW/eO05OTlSMjJIFn2gviRWzULCw/zlypUrd/Qe+/h7\nsmnTphtkJX+CCSWBG00ozwBjftbmT7n4fwoPPjhIoF2RkIXBEhdX4XePk56eLm3bdhKTySpgFOgs\nYBYYUTS2zVZVPvvsszt+DadOnZJHhw2Sfn06S4/uXcRq1UtYqFnuqlpGli5dKqdOnbqh/eXLl6VL\n57vFajVIdFSwBAaYpWpFxM9PCdl6NZVf9omdyqwx9z2kRDjy6EOIn1WZSSLCkBpVEIMeSaiFtG6G\nZEzpiiQAACAASURBVCcjKfvU/uAg5N3JSK27VBuzSYXSm03I5iUq4+GpXcrOrtcjEaFIr85I1YpI\n/+5KIA8fiPTq2eOGuV+8eFESExPlwoULsm/fPqlcwf8GM0+9WgGybdu2O36Pffz9+TMEuB44jlrE\nNOJbxPyvM27ceDEaawmMF5ggGk1Hadiwxe8ep337LmI01hEYIzBIwCKQIBAk0Fr0+poSFxcvWVlZ\nxRrv4sWLMmhgX2nerKaMfGxIsfqtXr1a4sva5MIPSgCOf1Inre5p8Jt9pr33jpSONUhIkFfAmpH7\neyB3N1F/jyqhNPMysepPfz/kySHIuT1Kw7aYkWcfQ+JilCZtMSP3d1c5UYIC1CLlrtVIpXikdjWk\nagUkPBRJO6DGMJmQyDC18Gk0Im9MuLZA2rYF8sgj176GFn++SIKDLFKnRoAEB1nkzan/kcAAk5z/\nXrVPO4CEhZrl+PHjxbrHPv5Z/NcFuDoH7YAjKG+UZ37h+J9ysf8UMjMzJT6+ivj5VRA/vxpit4fI\njz/++LvHMZttAk9fp8nXE4PBKnq9UapXry0vvjhR0tPTf3OMxZ9/Ls2b1ZQmjapJXGyYPDHYIOsX\nIP17mOTulgk31FT8JSZOnChjh2uLtNGL+5HgYOtv9mnfrrnYrMiHryNr5qp84H5WxO6vl5pVlZnD\n36ZMKZXilQnFfU6Nv+wTZRKxWZGycUoId2+vzCo2qxLIJhNSubwypVxdNH24L9KlDVKnOlL7LiQ2\nGvluDWI0KM3/hcdVRGepKGTggL4ior5wgoIssvcrNc7hrUhIsEWefeYpiYmyygO9bFI61ibPPzf6\n9z04H/8Y/hQBfssT+AT4HSc3N1cWL14sc+bMkQsXLvyhMcLDowUGeIX3eDGZyssrr7wily9fLlb/\nlStXSlRJqyz/DJnyvHKru6qJus4iJSIsN5lCfs6sWbOkUb1rxRrmT0Nq1oj/zT4J9evI6GHXTBA/\nrEdCgpGpLyIV45W5RK9HundAXnhCmUOmv6qKMhzcpDTuA5uu9bVa1L4WDRHHcbWVilJeKFfPsfgj\nJKYk8u9x6mXwQE+l/dv91csivjTyyjPIoD56ee7ZMSIisn//fqlU/kZzSYO6AbJ161bZuXOnfPLJ\nJ/LNN98U72H5+EfiE+A+fpGsrCyZMmWKaDQmgboCcaLRWOTll18t9hi9eraTz6YqwbR9udJ2rwrw\n/JNIaIhZzpw585tjuFwu6XpvG6lQziatm9slItwuu3btEhGRlJQUSUlJuUmLHz36KRkx6JpQ3LlK\nLSLKeeRKktKKNRqlLdv9lL07pqSylVepoP68XqhWq6wWPVfMuLavZ0ekXUtVsSfvBNKi0TWNXM4j\no4Yo88rutcjE0WpRtFwcUrZMpKSmpoqISEZGhgQHWWX1HKRrO2WyCbRrZfv27b/zafn4p1IcAe6r\nifkPY8uWLXTq1A2Xy4CIG8gBqiMSzYQJExgzZjRa7a29S40GEzle78W6NcDjgb6PaujSWpi7zEKT\nJk2Jjo7+zTF0Oh2DhzzO+9M1ZGY5eGFcLyIjI+nRvT0bNmxEo4EmTZrw7HOT2LFjB0FBQQwYMJDG\njd4jLDiP2GgYOxk63KPC2pNPgtGoXAzTM8DtgXKlVYGHbd+Bw6EiOg8egSoV4IcDKgxePPD1NujU\nWs0rJAjWbILAiiokvlSpkmg0V9h3MJ8TZ+D92fDNFyoXSu1qsOprSDoKZ88lERgYCEBAQAAffzyb\n3g/2YMj9wstjYcV6oX+/bvx44Dg2m+02nqIPH15uJeFvd8Ongf9lKCwsFLs9WOB+r+nkMQGbwHCB\n50Wr1UtBQUGxxtq5c6eEhljl9ReQNyciIcFm6XNfD+nRvY28NHFcscaZO2eOREVapHE9JDJCabUB\ndr10uMck+SeVBpxQxyiBAXoZPtAorZvbpH69qvL+++9LTJRealdDrGakdVNlxoiLVlp2drLSlN97\nWUVXen5C2rdESpdStm6zSWnM/n6qfb0ayh7evIGK2rRZkd1rkDGPIvXrVZHCwkLp36+nBNo1Ehai\nojN/3IjkHkPOfKds4gF23U3Xd+TIEYmNsRZ9mSivE7vPdOKjWODTwP95eDwelixZwrFjx6hZsyZt\n27YtOnbx4kWcTgHKevcEAxHAaYzGnTRs2AKj0Vis89SvX581a7fw0Ydv4/G4Wb5iGI0aNcLhcHDk\nyBEuXLhAbGzsb47x2mvPM+zBPBaugGPbVZbAhp1cDOrjwmRSbc79VMjyz6BpAogU0uq+w4x7YQx6\nrQe3G2a8BT07qXwn8Y2gUyuVgAqgR0d44XUV/FO1ImxJhM1LlYb92AtQUAhN6sPnK1Vwzt4DKhjI\nbIKnX/bjhwPCwkVvYjAYcDgyeP0FYf8h+GQ+tOgB+QXqPAY9FBa6KVnSjl6nJzAwgIkvTaVOnTpk\n57jJdag5FRZC2hW3T/v2cee4lYS/3Q2fBv6n4fF4pEePPmKzxYlO11hstkh5+ulnio4XFBSIzRYg\nMNCrgT8pGo1Z7PYQ6dKl5y29Tn6J6/NdJyUlSVhYSfH3jxGz2S5Dhw7/TU+U8vGRMvpfyPAB1zTU\nYQ+qEmhXS6LZrCqvydXjjz+MPDpAhdNbLciFH64d69Ze2eIzj6jfU19U7XatVn7evTpfa3slSWni\ndasjFota6Hz7JRWI06VLRwkMMEpCbbsEB1lk4YL50r5dI5k/TbkUrl+AvDMJaZqgtHD3OfX10KyB\nqlT/9UIkItwiO3bskEce7i8JtdWXyj1NrXJvl9bidrt/93328c8D3yLmP4s9e/aIzRYm8JxXQI8W\no9EqaWlpRW1Wr14tNlugBASUFbPZLq++OuUPnWvr1q0SFhYpoJGYmNJy4MABqVy5hmg0HQWeFGgp\nRqNdPvzww18dY/y4Z6RSeZNERVLkGz1prMpNUrcGUr+W8va4v4dKJLVrtUow9e2XSmiWjNDIE4OV\noD+3R5ky6lZX5pDYaK9roDfvSUiQita8as7Yuky1eWyQOhYYgJSPj5T//Oc/EhJsKcptsu9rJCjI\nItOnvSelos1SupTaP6jPjQUdoiOV8L76+4UnkLBQP+nfr6u888478vjIYfLee++J0+n8Q/fbxz+P\n4ghwX0m1/yE2bNhA9+6PkpnZp2ifzfYe+/YlUrZs2aJ9qampHD16lOjo6FuaOX6J1NRU4uLK4XAI\nYAOyMZm0iDgpLHwQmAvEA1qMxsN8990OqlWrdtM4Ho+Hvn17sf6rJRQUQqBd5deOidLw1kT1b+aH\ng/Dmx/6kXs5Fp/XQsyN89qYyi1Rsqiftsov8ApVK1mQEkwny8kGDKsCg1aq2Go0Wvd5D5XhVwOHz\nlaDRwl0VVWGIscNh/yENMxfbiSnpYdeX16pFlKqjwT8ghnr1W7BwwSx2rxVWfAU798KSj9XCaKk6\n8NlUuLuJ6vPQ4+p68guMHDlTnY2bvvXlBvfxu/CVVPuHcfnyZQkICBXoJjBGtNrWEhNT5le1vrVr\n10p0dBmx2QKkQ4euxTahrFu3TnQ6u0Brr6b/nECkhIWVEIgTaFYUIKTRtJM2bTr96lg9urWWOe8i\n6YeQ44nIko+QkpEWaZLgJ907+kl4mL9UrhQr/bqb5O2X1OJj+5bIw32NEhail63LVN+CUyoqctiD\nype7emUV7OM+hwx9wCC9e3WWAH+tVCirwuUtZqRVE+XLfea7a5pzr85msVkNsn+D+r1jhYrQ/OJT\npGSkVcaOfVpCQyzSooldAuwaiY3WSpUKahy7t4Tb/T3Ugmnqj8onPjDAVORe6MNHccG3iPnPIjg4\nmI0bv6J37/s5e3YtlSvfxeLF69Hrb37MSUlJdOvWG4ejExDB+vVb6NatN5988j7R0dEYDIZfPU9E\nRARudz5QybvHAFTi7rtLsGTJSpzOWkVtRUJISzv5q2NZbXYupkJggNrWb4V6dRvy4IDhOBwO2t2b\nx+xPH2f22wVoNNCrM8TU0fD06CeJj19JesZBAgPUWJfTlQZusUCXtnD6nNLAB/Vx0uGBjbRu7mHh\n+0oj/2Q+TH5LLX5eXTAFMJs09L6vP027L8BuyycrW5j7HrS/G06edZCcksZ3u5M4dOgQly9f5uTJ\nk2RnZxMZGYmfnx+bN29k0zdL+GG9k9AQ5c5Y6PRgNpuL/yB9+Cgut5Lwt7vh08D/dDIyMmTAgEek\nevX6cv/9A26wgV/lnXfeEbO5/nWh9O0EdGKzhUpoaKR8//33v3mOiIhSAi28fZ8RgyFKZs6cKdOm\nTRezOVLgUYHHxGotLS+//NqvjrNv3z4JDbHJiIEq37ZOi5SMDJTVq1eLiMicOXOke0e/Ig254BRi\nNOokLy9PVq5cKRHhFvnPeFVoOMCOHN2mFjErxSNz31V9Jo7WSamYEJn64jVNe9/XSmO+pynSuJ4q\nHvH6OCQi3C7nzp2T9PR0qVWzvMx5V9nnNy9Bht6vkadGjRSPxyODH7lf4svapEcnfwkLtcrizz8X\nEeWq2bRJbbm3nVnemIDUqmaVJ5949Daepo9/KvgWMf9+FBYWyqZNm2TdunW/u6LLyZMnpW7dRqLR\nmEWjqSHwgBgMDaR8+ao3+GX/+OOP8uCDD4rJFCnwvMBQAatAY4EaAlUlIiL6Jg+SU6dOydixz8jI\nkU/K0qVLJSyspJhMYWI0+kvfvg+I2+0Wj8cjL730sgQGhondHiKjRo2+pddFUlKSxMWGyjOPaSTv\nhBKWoSFWOXr0qFy4cEEiwu3y/msa+X4d0rebSe7t0rqo75YtW+TRYYPk4UEPSum4EhJf1k9Cgs1S\nOjZUKsbbJKGOXcqVLSmTJk2S2Gjk7G4VXdmjIxIabJa2bRpL6bgwqVQhUnr2aCeHDh0qGnvt2rUS\nYDeK3V+ZXWxW5MUXX5DNmzdL+bI2yTmmXgZ7v0ICAixF1+lwOOT1KVNkxPDBMmvWrFvmhPHh45fw\nCfC/GdnZ2VK9el3x8ysldnu8REaWumU4+lWcTqfExpYTjaaBQIDAuKI8J35+UfLdd9+JiMgXX3wh\nVmuAWCz1RaMpKVqtXSDe26ecQCfvb2ORTdztdsvixYvFarWLVltXoKVYrYGyYsUK2b9/v5w4caJY\nc3S5XHLmzBk5fPiw3Hff/dKgQXN54YXxkpGRISaTrijplJxH+nbzk5kzZ4qIyivSulUDqVqllAwZ\n/MCvvtgKCgrkwIEDcubMGXE6nZKYmCibNm2SnJwc8Xg88tBD/USvV9V8wsPMsnDhwqKvk4yMDNm3\nb98NubkzMzPFbjfJ9+vUnE5+i4SGWGTq1KnSu8u1rwLPT4jVqpfMzMxi3QcfPoqDT4D/zXjuuRfE\nbK5RJHx1uhbSsWPXYvU9evSo14VwhIC/wAteAT5ObLYSsnfvXhERCQ2NvM4PfJwYjXFSr149bzrZ\n5737XxCwyoEDB8TlckmbNh3FYAgRiBHwExgi0EuqV69X7Gs7cuSIREaWEoPBIqARiBboI1ZrBend\nu5/4+5uLiiQ4zyA17/KTL7/88g/dx9/C5XLJqlWrJCzUXyqV95eAALOMfGy4hATbpHIFfwkMNMv8\neXNFROTQoUNSrsw1QS3nkaYNAuSzzz6TsFBL0ULn9Fc1UqliKZ+m7eOOUhwB7lvE/Atx6FAy+fml\nwFvpzu0uTXLy7mL1DQgIwOVyAGagBPA5UAWjMZlKlUpTUFDA/v37yci4jIq+BNCi0UTStGkjvv/+\nGE6nrmi/xeJPYWEhs2fPZtu2wzid/0Klf/8BWAW0JTfXUexr69DhXi5cyAJigRBgN5CCw9GNxYv/\nzfTp79Cy95N0bevmu306NPpoHA4HLpfrFxdh/ygul4sHH+jNvx7IpV4NVfG+Wfd32fg5NKgDBw5D\n8x4P07RZc2JiYkjPEL75VkVsHjwCB48Ucs899/D22x/TuOsgRDxElSzBF8vX+dwEffzp3G5NTB93\nkEaN6mO1HgIKAQ8m0z4SEur+anuPx8PevXvZsWMH/v7+DB06BJttHhCBwXCJ8PDvePjhZly6lErr\n1r1o2LAVNlsgBsMWwAVcQKs9RI8ePYiLi0Sv/xo4h16/gaioEKpUqcKJEyfIzY2Cond9GSAdq3UD\n99/fm+TkZI4dO4bH4/nVebrdbo4dO4wK3e8NtEJV30sEPsXt1hIXV4blKzZToOvPkWMuqpY7yZTJ\nD9C6VWM2bdpE3ToViYsNY+CA+8jJ+fWak9eTmJhI7VrliQi30/Xe1qSmprJ161by83PZnwSvvguD\nnoKwECW8QYXcV4w3kpycjM1mY978pXR72I+Kzfxp3NXMO+98RHR0NPf16cuVKzmcPp1C0qFTVKhQ\noVhz8uHjjnIrFf12N3wmlGLjcrmkd+9+YjRaxWy2S0JCE0lNTZXExET56quvZNWqVbJz507xeDyS\nn58vjRu3FJuthNjtcRITU0bOnDkjy5Ytk/Hjx8ucOXPE7XZLp07dRK9v5i3e8JAYDLHeXOBa0evN\n8thjI0VEVdTp2rWXlC1bRe69t5ekpKSIiLKZ22wlBUaLqgLURIxGu4wd+5wkJDQVqzVErNYQadCg\nmZw+fVr2798vOTk5N1zXnDlz5FrFn6teL6NF1eB8RKCHWK0Bsn//fokqGSw7VlCUV7xCWVWsYekn\nSPJ2tYjZq2eHW97Ls2fPSlion3z+oYrSHPmwQZo1rSOt7kmQdydfs13f21aF1P+wXu07tkMVXjh9\n+nTRWNnZ2XLgwIE/lGrAh48/Cj4b+N+T1NRU+emnnyQtLU3Kl68qVmsJAaNotdFisYRL+/Zd5L77\n+ohWGyRQQeAB0elaSPv2XYrGyMvLk6ysLClTprJ3YdImEClg8G6NBFqJTucnd91VWz788EPxeDyy\nevVqiY0tL0FB4dK374OSk5Mjo0ePFYPBLBZLkMTHV5Fz587JyJFPitlc02uvf0H0+hjR6Uzi7x8l\ndnvIDRn3+vV7yOvhYhN4SGCUQCXv3Cd47f2N5MUXXxSDQSt5J67ZnBNqaaRv12u/s5MRk0l/S3vz\n/PnzpXvHawUV3OcQi0UvlStGFwlrOY+8NRGpXKmMBAdZJKFOgAQHmeWjD9//Lz1ZHz6KT3EEuM8G\n/hckNDQUgAEDHuHUKT8KC9OBGng8B8nLc7B69Xo0GhDpADiBJbjdLTh06AgiwsiRTzJ9+jREwGg0\noard1QPuATaicoA3Aj7E7a7Kjz+W4IknXmLnzu9YsGCRN7gnn3nzlrBw4QIaNWrCgQP7sFgsREVF\nodVq+e67H8jPr4iywqXicqUBQ8jODgaS6dSpK2lpKeh0OqKjIzEYDuJ0dgJWes8PcC3kX6crwGq1\nUrVKWZ59NZnXnlM25x8OajAYBBEVgHPuPNisJo4ePUpISEjRvfo5drud0+cEj0cF8/x0QeX2TmjQ\nmKkfLeOj1wvIzIJPF1oY+8wEWrVqRXJyMqVLl75lHnMfPv4y3ErC3+6GTwP/w9St21ign6hq8VaB\nh70eIk0Ewq4zR7QSCJOuXXvJp59+KlZrrMDjAuECVQXaCoQKtBRoLtBAVBX6yteN8YTo9QbR6xsK\nPOE9X2+B0aLXN5Hq1evcMLchQx4Vk6lukVkFSosqjnyvwN2i0xll8eLFIqJC/EuVKisWS0Wv5m0V\nFW7vL9BWdLoGEhoaKSkpKbJt2zbx99OJVqsRk9EoUFf8/XTSq7NJJo1BSkWbJSzMX8rE+YndbpRJ\nL40rmtMPP/wgM2fOlK1bt4rT6ZSWLepLq2ZWeeFxpEycVV6f8rJkZmZK+3bNxGLRi8mkl7FjnvR5\nj/j4S4JPA/9zyc3NZcmSJeTm5tKqVSvKlSt3W+PVrVuL/fu/oaDAD+VZclUzbAFsRy1EbgK+BTQk\nJx9jzZr1OBxVgLOAH9AdldqpEvAuSuudB5QEPIADpcV/jculQ6c77j1XLFdD5V2uliQlvUZWVha7\ndu3iiSfGkpGRgZ+fA73+IxyODEQ8wGIgEjiN2x3JAw/8i+PHT/D006M5cOB7Ro0axcyZ6ygsHAIE\neOewmOHDh/P004uJiIggIiKCqW9+yLBhI9DprQTZTrN48Tq+//57Ui+lYDTN55nh5xn6gHAxFRp2\n+Q8NGzXnWPIRxo0bRctGWr79Xujc5QHWrN3KjBkz+OncOd6b3rAoN/qXqzeTk5ODwWDAdH0cvQ8f\nfzN82QjvEFlZWdSu3YALF8Dj8UOrPcLatato3Lhxsfq7XC6mTPk3mzdvJz6+NC+9NAGj0cg997Rn\n7949OJ0WYBigA1KAj4HqwBlgAGDGYFiPn98x0tPDgHLASZQAByWkX/b213DtZXDR+7sGEAfsQKO5\ngogR+BfKRJKBwTCdbdu20qJFGxyONkAAFssmOnWqw/ff/0hy8jHgMcAKZADTgIEYDDPIykrHbDaz\nadMmOnXqR27uQ4AJOEVAwErS01NvcsHLzs7m4sWLxMTEFAlZEcFo1JN91MPV1CLDnzNRquJEJk0a\nx/dfFVA2TmUXrNrSyopV26lRo0ax7r8PH381ipON0OdGeIeYPn06Z88ayc3tSV5ee3JzWzNkyIhi\n9+/f/yEmT/6M9evNfPzxLurUaYhWqyUxcQtJSfuoX78yOt1HaDRL0WpnMnjwQEqVykQJcSugxems\nTXp6NnAJ2AEcAfaiBP4XKBfAWKA+8KB3q4kS6q1QKWD7IJJNiRIWzOa5aLUbsFrnMXnyJFauXEVe\n3l0ozbwkeXlt+Oqrr4mMDAbs3nkABKIE9Em0Wj3Z2So1a/Pmzbnvvi5YrR8TELAYm20ZixbN+0X/\naX9/f8qVK3eDhqzRaChXNoovN6jfObmwOVGP0WjEz6albJzab/eHSvEGzp8/X+z778PH3xGfAL9D\npKRcoqAgBKXNAkSQlpZWrL5ZWVksXboYh6MHUJXCwrakpXnYvHkzGo2GMmXKUFhYCPghYkSkAitX\nrmX48MFYLOdRphBQGncwEASEA02B74EZQCbQAq02lWvaN0DMz2ajvpbi4+OZPv15XnyxNStWzGP0\n6Kfw87Oh1+df19ZBZmY233xTCKQDJ7z7k1Dmnf0YjWYee2wUO3bsQKPR8PHH09m6dQ1z5rzC4cMH\naN26dbHu0VVmzPycR5+z06RbABWbWshx+PP008+TmZnHZwvVQuX2XbD3RxfVq1f/XWP78PG341ZG\n8tvd+IcsYq5evVqs1nBRBYKfEZOphvTt++Avtj127Jj06NFHGjVqKVOmvC6XL18Wg8F8XSj7BPH3\nrygrVqwQEZHTp0+L2RzgXSi0CphErw+UVatWSUJCE/HzixG7vbLodGaBe7xtSggEe32vm4vJZBOj\n0V/MZn/RaGIExnq3WAGTQH2Bnt5zVJGQkBI3zTslJUVCQ0uIXp8g0Fo0mqsJsCYIlPT6eusFAkUl\nxTJ6Fy2DBMzSs+d9f7icWEZGRpF/+eXLl2XWrFkSGRkrGk2wdxF3kNisOjEZtRIa6i9r1qwREZUc\nLDExUbZt2yb5+fl/6Nw+fPx/gK8iz5/LW2+9zbPPvkBhYT5t23Zg/vxZ+Pn53dAmJSWFihXvIisr\nChELZvN5Bg/uQXLyMTZtOkl+fnX0+rOEhZ3kyJED+Pv7c/HiRUqWjMPjqQB0QWm3sxk2rDNvvfUm\n27ZtK4pO7NmzD/n5BSjbdzCwHmVSyUVp5ZmAGyhAfYDVBCzAPtQCZAygIybmOGfOJANQWFjIypUr\nOX78OOHh4Rw8mMSFCxdZuHARLldFlBlHB8zxjucCfkSZWk4A93rPsQytNpOBAwdSunQsS5asIDg4\nmIkTn6NmzZq/mDPb4XDQpUtPtmzZiIjQv//9TJw4jrvuqkVmZnUgDPgGKA0E06GDjpUrl6DRaMjO\nzqZ1q0ZkZ57EYNAgmgi+3pD4q66HPnz8lfBV5Pl/4rfc0t5++23RaAIForxufFYxGEySl5cnjz8+\nSmrVaiA9e/aVc+fOFfXJz88Xg8Hfq8nGeINhukjTpvfIqlWr5Pz580VtR4wYITdGPD7h1YSNXtfD\nWK9WrPXuqy9g9wbZBAqUEjCLVmuTSpVqyNSpb0qNGvVErw/yauoBEhAQKnZ7sGg09b3ar9XrsmgQ\ng8HP+/cYgTICba6byyCBCNHrQ8VgiBLoIyqplVZ0OoM8+OCgG4oki4gMHTpczObq3q+TsWK1lpVu\n3bqL2VznunEfF7CIyVRLxoy5VsT56dGPywM9TeI+p6IuRz5skEce7n8Hn7QPH/898LkR/v/wW0mN\nduzYgUgQcD9KAz6Ay7UKs9nM1Kn//sU+Q4Y8itsdBrQGLgOL0Ggi2bEjhb59z+PxXGDVqmU0a9aM\ncuXKYTRupbDwau9slI1cg1rELIuyi/szcuRDzJw5n4wMPUqTPY9yIbyMx9OJQ4dMjB79Eh6PE4/H\nAgwBzGRm7gR2Au1QNvN9KA24P07naWAFKqlWvne8q+QAJlyuy8B93n5W4Bncbjfz5y8gM7Mn77zz\ndlEwzdat28nPr4XKxaLH4ajKsWOnf3aHBHARHw/PPfdM0d5jyQfo3bYArXelp8PdTl75IOlXn40P\nH383fIuYfzIRESWAaxkHIRqD4bffo4sXL8bjuReVRdAAhCJyCpcrnqysMHJy7qZXr34A9O/fn5CQ\ndHS6FSjTwlyUkAwA2gLlUeaVPM6cOUNGhhkYjnqhtEMtQDYDKgKlcbna4/E4UG6JV00cd6H8xwHy\nUG6DbVGeKHehhHlblMfLLmANsBWVxdBb9Rc3yle9vveazBQW1mb58m1UqVKDQ4cOAVC6dCw63Rlv\nH8Fo/ImGDethNp9Gq90KJGEyLeG++3qxZ08i/v7+Rfeteo0E5i6zUFioSqfNXmKmevV6v3mvffj4\nO/GHBbhGo+mp0WgOajQat0ajqXXrHj4A2rRpjcWShLJFe9Bqd9CyZcub2mVkZDBo0BBq1kzA5XKj\ntNeVwNco27YRpeFmAxu5dOk8Ho+H4OBg9u/fw/jx9/LYY3dRv/5VT4yffxUIK1asQgnbq/8ML3Gw\nLQAAIABJREFUSqFs43nXtctHvQAOe48BJKHRaL37UlE276vh8R7vtVmA2vj7B6JSx24FQoH9KJ/0\nRd62V4UzwFlEypKdXYennnoWgHffnUpw8CH8/Rfi7z+X2Ng8Xn31ZXbvTqRnz5I0b57JlClPM2/e\nbIxG4w1XOGbs82BsRHQdMzF1Lfx0uTovTXr95ofiw8fflD+8iKnRaCqi/gd+AIwSkb2/0k7+6Dn+\nV3nllSmMHz8Oj8dDnTr1+fLLLwgJCSk67na7qV27AYcPQ0FBJXS6bbjdF1BmhBEo4Z0JvAeMApYR\nHp7Fxo3rSE5OpmLFilSsWJHly5fTo8cDuFyCEtJlUBr4d6hFzcso4fwIYAO+QplXdECC9zxbUQE+\nxwAtOp2dwEAdkydPYMyY8WRm5nvH8kdp36dQGnUfYCl6/QkuXvyJOnUacfKkASX0h6EE90HgFFpt\nSTwe8Y7THtiO3Z7DK6+Mo3LlykRHR5OUlIRer6dFixZYLJZi32sR4ezZs7jdbuLi4nw5u338bSjO\nIuZte6FoNJpN/AMEeGFhIYsWLeLSpUs0bdqUOnXq3NZ4LpeLwsJCrFbrTccOHTpE3brNyc0dihK8\ngsHwBiIhuFwPXdfyVaAxcJnmzYP59ts9GAwxOJ1nmTJlMklJB5g+/X3gIZTWvg0lNAtRduPBwCFg\nCwBarQE/Pz+yspqjBKwbSEejcRMYmIfFYsFms9CmzT2kpl5hxYo15OXpgSyUWeY06uWAd3wD4OT5\n58fw2mtv4nT6oYR0G6AqcBGLZS6dOrXjiy82UFjYAmVmaYYy16zDYrGj0xWwfPniX/xS8eHjfxWf\nAL9DOJ1OmjS5mwMHLuJ0hqLXH+KDD96hf/9+d+wchw4d4vz581StWpXMzExq1myIw3E1dN6DxTId\nKCAvrxNKk96DirbMx2AQtFoDBQWDUXbodIzGj3C5XHg8blROFDeqmMIOVKTkGZTmDeDCYpnO3r3b\n2LhxI089NY68vNpAGsrkoUUtcrpQJpUClMthS1SU5zqU0I1GuRJW97Y5AVTCYDiE03kXSqP/FiXc\ntZjNej799GPuu683zz77Aq+//h/c7oaoACSAZNQXQEvs9pVkZKT9ogbtdrvJzMwkKCjIp2H7+J+h\nOAL8N1fPNBrNem50I7jKsyKysrgTmTBhQtHfmzdvTvPmzYvb9S/BsmXLOHjwArm5fQEthYV3MWzY\niN8lwJOSkjhz5gxVqlQhJubG6MdRo55m+vSPMRrDcbkusmzZImrXrsHu3V+Ql1ces/k4d91Vnhde\nGEunTt1QgtSGsinn4XZfQacLRAlvgCBcLhMejxMYihK+R1BJrECZOzK9WwBwCZECmjW7m0uXrgAe\n4uNP0bVrN9auhf373ahFSTOwBLXQ2Qtl545BmU02o1427YDa3vOsAzy43eUwGE7jdA4B7gYOEx29\ni2PHkjAYDKSnpzN58kRSU9P45JOr0Zx4xxOgNHl5DrKysggICLjh3s2fv4CBAx/G4xHCwyNYt+5L\nKlWqVOzn4sPHX4XNmzezefPm39XHp4H/BgsXLmTEiFFkZFzB7fbH4xmEyvHhQqt9BaezEK321uvA\nzz8/njfeeAejsQRO53nmzPmMrl27AqrsV6tWXcjNHYCyR5/Ebl/JhQtnmTz5FXbv3ke5cnF0734v\nFSpUoHz5yjgcTlQ+72BgA6rG5AmUJ0kscByNZgEiEcDD183kVVSYPSh79TfevhcJDAwgI6MApVVn\nANuoXr0G+/cf8ro9ZgJ9Ua6Ga1C2+EDvWLNQ2vdxVE6VOO/+PShNX0dIyFkKCoLweAKBI6xcuRS9\nXk+XLt1xOBxYrVZefXUSTz45FofjmglFea2YCQvbxsWL527QsI8cOUKtWvVxOPqg9IzdxMQkcfr0\nMZ8m7uNvz21r4L/nXHdonL8M3377LQMH/guHoxtKUK5CFQrugcGwhXr1mhZLeO/fv5+pU98lL+9h\n8vJswHn69XuQ9PT2mEwmjh07hkZTimuJoErjcOTicrmYPPklFixYyMCBg5k790sKC1OpXbsG27Zl\no2zfoKIrZ6DXmzEalyCiwWDQUb9+S9av34LyDvFDCV4XyixiQS1W9gEK0Wrnk5GRjUpuVdI77jn2\n7TsBjES9tPajEmIZUKaQWUBDDIZULJZMsrJOo/45rUNp54WolLelgANkZxsZOrQPlStXpkWLFoSH\nh1OqVFmys9sD5SgsTGb06Gfo2bMLX365AafTSU5OLlbrd+j1blav/vImobx37150ujJc+0isQ0rK\nBjIzMwkMDMSHj/91/rAA12g0XYG3Ud/xX2o0mu9FpN0dm9n/M+vXryc/vyrXkj21B97GYJhKgwZN\nWLx43m/0vsaJEyfQ66NQJg9QAlJHWloaUVFRVKtWDY/nJCoZVBBwgJCQUPz9/UlPT2fgwEfIy+tH\nXl4JII2dOz9Cr6+Gy3X1DBrAg8vlZPbsWSQkJBAcHIzFYsFiseN2v4vyH7+AMkmYuBZGvxaNxoV6\nyXtQGvRVAe5C+X5fzQZYAfgCnc6MyWSkatUKlCplJza2EgUFCbz33juI2Lz360PveG7Ui6MWhYXl\nmDlzHhkZqQDs2rULjcbuPQdAPHl5ehYs2EJBQR3M5hNUqxbLrFmfULZs2V/0PImOjsbjueC9HhNw\nAb1ed4MvuA8f/8v8YQEuIsuAZXdwLn8pgoODMZkyyMsTlJC8TMmSUfz008nfNU7VqlVxOs+g/KXD\ngMOYzUYiIiIAqF69Oi+/PIExY57BYPDDaISVK1ei0Wg4c+YMBkOAV3gDhGKxRODxHMXlsqPenV+j\nhGVNJk16jSNHkhAR7rmnDT/88B2NG7ckM/MnlMCOA2qh7OEnvXOKR2QAymwyi2tC/izKbJKLevn8\nQEREFCkp1/ttw2efzWDEiHGINPW2befdCoFXUClqc4GVZGVlqwQ8Gg0lS5aksPAyyoPFDmThcmXg\ncvUFgsjPr0Zy8kfk5+f/qttg48aN6dmzI59//hlabQnc7lPMmPEpOp3udz2j34uIsH//fjIyMqhR\no8ZNdnkfPv40bhVrf7sbf9NcKNnZ2RIfX0Ws1qqi1zcSqzVQvvjiiz801owZM8RstonNFipBQeGy\nc+fOm9pcuXJFtm7dKjVr1hetVit2e7DMmDFDrFa7qMrtowXKi0Zjlnr1Gom/f6g3A2BLgedFq40T\ngyHS2+55MZtryKBBQ0REJCkpSfR6P1Hl2CaIKoMW7s0c+Lh332CBeAGdgJ9AeW92QaM3B4tFJk2a\nVDTf3Nxc2b17t3To0EWgo8AAgQDveOO98wq/Ll9JLQkICJZ9+/YVjTFp0ititQaLv39NMZuDvHMc\nVzRHf/9SkpiYKJcuXZJ9+/bdVO1eROWd+eabb2TBggVy9OjRP/R8fg9ut1vu799dSkVbpUFdu0SV\nDJYff/zxv35eH/888FWlvz1ycnLkgw8+kNdee0327Nlz22OdOHFCCgoKfrVNrVoJotM18wraR8Ri\nCZA333xTLBZ/0WqtAnUFBotG00w0GpOAQXS6OLFaq4nFEijQ4TqB+bCUKVNZREROnDghJlPAzwR4\nmKjq9P28/fxE1c8M9J5nnDfhVU0BgwQHh0t6erqIqNqTdnuImEwlRKu1ePsME1V7U+cV+maBvnJ9\n3U6dLlKs1kD5/PPPi6557969Mn/+fNmzZ4/UqFFXjMZ6AgPEYGgspUtXkClTXheTySb+/tFit4fI\n9u3bb+s53C5z586VerVs4jiOyHnk438jCfWr/L/Oycf/JsUR4L50sn8RXC4XRqMJkedQZgywWlfz\nxhsDqV27Nk2btiUvbzjX1ovfBxIwGL7hoYe64e8fwLvvbqKwsKO3zU7i4k7w2GNDMRqNzJmziO++\nS8Xtro6KhjyMWgC9hLJ3D0Mt1hagame2Ri3cjgX2U7v2RXbv3k5GRgbh4TE4nU1QeUwKgI9QJphw\nVIm2UFTSrAtAJ9RC6udAV8CI2byA3r1707hxAgMHDixaDJ45cyYTJrxMVlYODRvWZ9Sox+jQoRsO\nx4Moj5ejBAV9TVrahWItIP83mDhxIgWXJzB5rPo3fTEVKrewcflyzi16+vDx+/CVVPsbodPpsNns\nKAEI4EarTSU8PJzw8HBEXChBq44pG3M4TmdD0tNzGDfueaKislHCdA6wiVOnTjJ69DyeeuoTjh8/\nysMPtyAsbDsqQCYUJRRLoTxLgr1jm7z7VwIdUC+DQHJzc8nLy6Nq1eo4nQWoSMqr7SuiampeRKeL\n9PbJ9v75PjAf5V6oPEby83OZOfMnRo58mSFDHgXgjTfeZNiwMZw6FU9WVhy7dn3LsWPH0Oliueau\nWB6Hw8Hly5eZPXs2/fo9xNixz3LlypU79BRuTbVq1Vix3kp6hvo9c5GW6tUq/2nn9+HjenwC/C+C\nKjf2PhbLIiyWNfj5zaFu3fJ07tyZmJgY2rVrg9W6CJXdbx5K4JZAq71CYKAdm83GkCEDMRgsqEjI\nKKAtbndH8vO7cOVKGYxGI2fPJtOoUV1sNhcazTGU54kWlXBKUIubKej1Ju850rBYNtO7dzc++OAD\nUlLyUYuaB70zL0DlSSkNgMdjRoXuh6CChFyYTHrUQmsOatE1DkjA4ejNzJkzyMzM5KWXXsbh6A7U\nxeVqTVZWCY4ePYrbfZZribJOYjQamDr1bYYOfYZ589KYOnUDNWvWK6q7+d+mS5cutG0/gDINTJRt\n6Menn0fxyacL/5Rz+/Dxc3wmlP9nTp8+zUsvvUJq6mV69OhCtWp3kZiYSEREBJ07dy7yqHC73Uyb\nNo01a9bz9ddf43KpxFEiV8PLdYg40WiqI3IvShNvjQrsAdhDz57+LFo0F7fbzZ49e3j//feZMWMX\nIsdRmnQ2oOPuu5uxdWsiTqcGcGOzmTh58iivvjqFN97YgMqfovduhUBllLDfgdHowelsjkgUZvMu\nIiPzOH36NB6PFchGozEi8i9UNKgHk+kNTp8+RtmyFcjNHcTVaFKDYS2vvNKDnJw8Xn31dUymMNzu\nKyxdupCOHTtTWDisqK3N9jkffPAM/frdudQGtyIlJYXMzEzKlCmDwWD4087r45+Dz4RyB1m0aBHN\nmrWhdeuObN269Y6MeeHCBWrWrMdnnx1mxQoXQ4eOYe3adQwdOpSuXbve4A6n0+kYMWIEq1ev4Mcf\nv6dZM3/0en9gDCKjESkBNETkEJCIEqhfo9z00rBad9O1a0cALl26xBdfLCc/34nJdAqlsdsBG+3a\ntWH//kM4nX2Ap4AxuN2lmTdvHs2aNcFqvYAyl1zNA54P7EWj2UqpUhFs2rSexo0LiY3dgr9/KidP\nnsbjeRQVENQHkUI0mh+BCxiNa6lWrRrh4eH07dsXq3UVyn3xB4zGw3Ts2BGdTud1I8xixIhhtGjR\nArfbzTX/dBAxUVBQwJ9JiRIlqFChgk94+/h/xSfAi8GcOXMZMGA4W7faWb9eR7t2XUhMTLztcRcs\nWEBubik8nhZADRyOe3nttV+uynM9FSpUwOEoxOlMQAkyM2pB8TLQFa32G+A4Wm068DY222xeeOFx\n+vTpQ0pKCtWq1eL11zcyf34KIgaqVCmgdu0YXn99PCtXfkFGRjpKQ1Y4nTZyc3Pp3LkzzzzzGHr9\nXrRaDSEhERgMfpjNlTEazTz4YH9ycnK4//5elCwZSVpaPiqw52qOlrKAhurVM7BaPyc4+BKPPDIA\njUbDe++9xbBhXSlX7lsSEq6wceNXbNy4iVdemUZ6ejcyM3vw1lsz+fjjT+jSpRsWy0rgHBrNbnS6\nU7Rp0+a2n4cPH383fAK8GPz732/jcLRCLdzVwuGoz7RpH972uC6XC5HrY6kMuN1ukpKSWLNmDWfP\nnv3ZPN7A3z8Is9nGhQvn0enOX3f0HCpkPs8bWTkSj2cIUAKHo4AlS1Zw6NAhPvnkEzIzY3C52gKN\nKSi4l+zsXLZv38iBA4ewWu04nS5UJZ9LwGE0mr106NABgOeff4b8fAdHjhwiNzcXp/MR8vN7UFAw\niJdffo17732Axx//mMTEbxCJQ0ViZnnneByAY8eOkpdXk5SUmjz++PO8++576PV6Xn/9VZKTfyQx\ncQv16tVjwYKlOBwNUZGkETgcDZk/fylz585gwICWlCu3k0aN8ti+fTNRUVG3/Tx8+Pi74RPgxUDZ\nmK+348sdSZbUrVs3TKYjqBzaJ7BaV1KxYkXq1GlMnz6jqFChKkuWLAFURsTx46eQk9OfgoLhXLqk\nxWDYjc22GK12BhrN91iteZhMGzAYyqA8S+YBcYgMZs+eQJo0aUla2mWczusjG23k5Tl44onRLFqU\nSGHhUGAAqmTaLGAD0dFRVK9evaiHTqcjIyMDozGEa5q6P263lby8djgc7VG5XcqhPGbeA6YBC7Ba\nLeTmBiPSCKiGwxHFiBGPY7H4MXjwMFzXcgQQHByERpN53XPIICQkELPZzHvvvUVy8o9s2bKO+fMX\nUbJkaUqXrsjcuXNv+7n48PF3wVfUuBiMHfsEAwcOx+HIBwqxWr9l+PB1tz1u2bJl2bp1A6NGPcuV\nK4dp1Kg9M2bMuyHx1f33D6Bjx46sXLkGh6Mmyv0PCgpaEBOzkSlTnsPpdBb5RVutVvr3H0Jh4QWU\n98bdgAaRYJzOZOLjy2GxfEpeXkkgAKt1I3379mbx4i/Iy2uNMnfYgQZAFlptABUrmm+ae/ny5b3j\nH0VV+Un2/r4a9t8aWO49dgoVlu+Pw5EA/IByU3Si3CZHUFCgY+7c5ZQoMZmJE8cDMGnSOL7+ugl5\neUqDt1gOM2nSthvm8dJLk3nrrbk4HG2BfAYPHkloaKjPpOLjH4FPgBeD3r17YzKZmDbtE0wmE88+\nu4Z69e5McdyaNWuyceMaAJYvX86cOVv4eeKr1NRUIiPDMRj24XRe7ZmKXq8jLCyMli1b3vBFMGZM\nEpMnT6aw0IlaZLQAbtzubGrXrs3SpQt48slnyMnJoVevbrz66mQ2bNjCTz+loswwViAVrfYn7HZ4\n++3tN8zZ6XSyfPly+vXrxZw588nPX4rV6kdBgYH8/AtALBpNASAoB6SqKFfDf6E++qoAb3nP0xLl\nbggORwKrVq0tEuBVqlRh377dzJs3D41GQ58+cyhTpswNc5kzZxEOR0uuvjgcjrrMn/+5T4D7+Gdw\nq1DN2934G4fS/zfYvXu3LF68+Bfzdhw7dkys1gBvWPoEgfskKChcnE6npKWlSVSUCps3GOoIGMRi\nqSB+flHSvft94vF4bhgrLS1N7ruvv9hspQTuFqu1vNxzTzs5efKkdO7cXSpXrimDB/9LsrOzRURk\n0qRJ3jB4k3eziMHgLwsXLrxhXJfLJU2a3C02W7w3R0yI/Pvf/xGPxyPr1q2ToKAw0Wi0UrZsRZk3\nb574+weL1RojEOkN4e/rDdkP8YbsNyoKt9do2krbtp1/8/7l5eVJcnKyZGVliYhIzZoJAj2LxtBq\nG8vIkU/cziPy4eMvAb5cKH8tnnxytFitoWK3VxeLJUBmz559U5tZs2YVJb4KDAyTxMTEomPp6eny\n4YcfitFoFrjPK7SeE5stSr766qubxvJ4PDJv3jx54olR8v7778vly5elRIkY0elaCDwkZnNNadr0\nHjlz5oz3xfGwd8xeAn5iMCTIf/7znxvGXLVqlfj5xV2XdGqEGI0WcbvdRW2uz/dy6dIlWbJkiQQH\nRwjECoR6BXeQQG1vAqwqAlXEbg+RpKSkX71/27dvl4CAULHZwsVs9pOZM2fK+vXrxWoNFGgmOl2C\nBAaGyalTp37Xc/Hh469IcQS4L5DnT+KHH36gUaN7cDgeRpk0LmE2z+TKldSb0qXm5uZy6dIloqKi\nMBqNNxzLy8vDz8+Ox/McV/Oi2GyrePfdR+nSpQu7du3C39+fhISEm/KFrF69mj59niQrq493jxuj\n8Q1mzfqEIUNeJDOz93Wtp2KxWFi06CM6duxYtHf27NkMG/YmOTmdvXs86HSvkJ2d+ZvV4rds2ULL\nlm3xeB5HuT3modLJd0en+4b4eD++/vqrG7xJpk2bznPPjaOgIJ8uXe5lzZq1ZGa2RtnVL2GxzOXA\ngb1cuXKFRYsWY7GYefjhQTeVrPPh4+/In1mRx8ctOHPmDHp9JEp4A4Sj0RhJS0u7SeDYbDZKly5d\n9LuwsJD58+dz8eJFmjRpQrlyFUhOTkSkAaqe5TGCgoIoW7YiHk8wbncWdevexVdfrbwh0MRgMCBy\ntSK9BnAh4qZUqVIUFqZwLfd3GpBDjx7di9wHr9KoUSPy8gajoi+jgK1YLHZMJhO/hdVqxWy243Ds\nR7kFxqLRWLBaV9Cy5T3Mnv3pDXm116xZw+jR43E4egI2li1bjcvlQAlvdf8MhhgOHjxIp06dqFOn\nzq0fgg8f/2P4BPifRLVq1XC5zqL8oksCB7DZTERGRv5mP6fTSZMmd3Pw4CUKCsIwGF5l/PgxvP/+\np5w+vQERMBqDGDLkMTIy6iFSB3Dz7bcL+fTTTxkyZEjRWE2bNiU62s6JE6soKIjBaj1Ily49adCg\nASNHDuPtt99Hp4uisPAkTz/9PBcvXqJSpRrExcUybdqblCmj8qlotVrc7jWo0PsY8vPzqVq1DrGx\nMbz22ktUq1btpuuYPv0jHI5CVIbCHUAkwcFGzpw5i9Vqvan9qlVrcDhqoIQ9FBQ0Q/mRX71/2bhc\nP920qOnDxz8JnwD/k4iLi2PWrE+4//6H8Hg02O1+rF37JXr9bz+C5cuXk5R0gdzcfoAWl6s6EydO\npmzZ8mi19XC7bWRkJKJc+Mp6e+lwOKI5duz4DWOZTCYSE7cwadLLJCefpEmToTz++EgAXnllEr16\ndefEiRNUrVqV4cOfYNu2C+Tn1+Ho0TNUqHAXnTp14NFHh2A02nA6h6G0+I24XNkcOlSZw4evsG1b\nc/bt232DYD148CALFy4FhqLMJ9loNG+zbNmGXxTeAOHhoRgM6dd53aQRERFBVtZCDIYSOJ0Xefrp\nUVSpUuX3PAYfPv6n8AXy/Il0796dzMwrnDlzjJSUc9SqVeuWfa5cuYLHE8y1RxVCXl4uhw8n4XY3\nB7YCg1BJq65mFHRgsx2lbt2bzQoBAQG8/vprfPHFIkaNehKdTsfp06epU6chCQmNePLJsZw5c4bN\nmzeSn98JKIVIY1yuEnzxxWF69OhDiRIhGAwbUD7c3wG9UaXZ6lNQUIHFixffcM7/a+/eg7Oq8zuO\nv7+550nYTYAEkIsIQr0uFQfpLJQFEUWpy7LFBnan432tt2XQMqtSbVZlUJzuKKUO25biSjfIiAgI\nioIYageH0iDqusuCZSELhnuIJISE5Pn2j/OwcklCIE/yeB4+rxlmnsvvnPP9hcxnTs75/c5v3759\npKd3IQhvgE7k5HShsLCw2X4//PBDdOt2kOzsJaSkrACWUllZS23tUaqrvyA//9tMmnTbWX9+IslM\nAd7B0tPTKSwsbPWCBCNGjCCYLLMdqCU9fQ1Dhw4jeDzrPoJnoXQG/irW5nlSU19i0qRx3Hbb2QMu\nGo0yevRYNm+OUF8/hfLya5kw4W9iI4hOnP4Gr92vpq6uDz/5yZ3cdFMBPXu+S1raiQWRA2bRM9ak\nDBZuPkCwiEQjUEZ2dsop1/lP17lzZz77bBNFRYNJS9sO3EV9/YPAaKLRXlRUXMWNN45DN8jlQqYA\n/4a77LLLWLx4Id27l5KZ+c8MG9aJt95awjPPPEN29nKCQPyYYALOjQQjSyIsWLCAJ58sPuv+9+7d\ny+7dX9LYOJzgDPlyUlN7cf3118eeP74JWEoQ5pfQ0NDA9u3beeON19i16//4+c+fJBJZCnxKSso6\nsrO3U1RUdMoxunTpwrvvrqBHj48wm0G/ftv44IP3zhhhc7q8vDx69LiI+vrvACfuFVwOHMR9CHv2\nVFBZWdnqn6VIstEwwhBbs2YNy5Yto6TkdaqqDuGeQjT6HYKVdKrJyVnAsmW/ZvTo0c3uo6amhvz8\nrrFr2t8CGsjJmcc77yzik08+5cUXX2bnzgoaGkYBlcB6IpHuDBxYyPr168jKymL+/Pm8/voyunbt\nTHHxP9C/f/9mjxeNRs9pObSFCxdy772PU1PzI4K/Nj4kWHRiLFlZr3DkSNVZ7yOIhFFrhhFqIk+S\nqKmp8dTUdIcnYosX/4VDpkcieT579pwWt50xY6ZHIoWenj7Mc3Iu8Vtv/eGfZnY2Njb6rFkveHZ2\n59hEnJ86/KNnZ1/pL730Uqvra2xs9HXr1vnSpUu9oqKi1dtFo1G/8857PSvrW56Wlu9mmR6JXOmR\nSJ6/+uqZE6FEkgWayHNhueSSgezYMYjg2ng58APgGJHIEkpK/pXhw4eza9cu+vbte8qYa4C1a9dS\nVlbGxRdfzMSJE884S+7SpQeHDhUB+bFP1jFt2hBmzXr+rHU1NjZyyy3jWb9+Mykp+bh/yerVbzN0\n6NBW9628vJyqqir27NnD3r17GTx4MFdcobUoJXm15gxcAZ5ENm7cyA033MyRI3W4TwJ6xb75H777\n3Ro2bSojIyOPxsYjLF78GmPHjm31vsePn8iqVX+kvv4moJpIpIRFi/79lFmazVmwYAH33/80NTWT\ngVTgc/r3/w1ffPHb8+ilyIVBS6olsWg0Sn19/SmfDRkyhD/8YSsDB/YjWJ0nkJpayYYNGzh27Ha+\n+uoeamp+yMSJk6ipqWn18V555d+47rocUlOfIz39ZaZPn9qq8IZg3c/a2h4E4Q3Ql4qK3a0+tog0\nTQEeQs89N4vs7Byys3MYNepGqqq+XvSgc+fOzJ8/l0hkLWlp75GZuZzc3G1EIj2BglirPOrqokyY\nUERJSUmrjpmfn8+HH67lyJEqamtreOKJnwHBPZT169fz5ptvUl5e3uS2Q4YMIStrK8HMTSc1dSOD\nBl1z/j8AEQF0CSV0VqxYQVHRPRw9OhnIJSNjFePG9WPJkkWntNuyZQvLly8nMzOTYcPeP6ZyAAAH\nDElEQVSGMWLEDdTW3kGwUs9c4GqggEhkI8XFjzBt2t+fcy3uzo9/fDvLl68mNbWQhoadLFmyqMln\ncT/99LM8++wMUlLS6du3L++//46WQRNpQbteAzezFwhmj9QTPKTiTnevaqKdAjyOHn10Gr/4xSZg\nROyTg3Ttupj9+79saTPmzHmZadMeAzI4dqw7cGKSzz7y8l6nsnLfOdeyatUqJk68h5qa24EMYAf5\n+W9z6NDeJtsfPXqU6upqCgoK4rIknUgya+9r4O8BV7r7IIKpgo+3YV/SSr16XURW1n6+XqPzSwoL\nu7e0CQAPPfQAW7d+zl13FZGennvSNxk0NBxvdruWlJeX496TILwB+nD48AGOH296f5FIhMLCQoW3\nSJycd4C7+2p3PzGHegNfD3mQdnTfffdx6aXp5OaWkJOznNzctcyb93Krtu3duzdTp04lI+P3QBmw\ng8zMZWRkZNGrVz8efHAKdXV1ra7l2muvJVgLM7hharaRSy+9/JRH2IpI+4nLNXAzewtY6O5n3BHT\nJZT4O3bsGCtXrqS6uppRo0bRp0+fc9q+rKyMRx55jN27K9i5czsNDeOArmRnr2Py5BHMmze31fua\nO/eXTJkylZSUdAoLC1iz5h0GDBhwjj0SkdO1+Rq4ma3m62XGT/aEu78VazMdGOzuf93MPhTg31Az\nZ87kqadW0tAwJvZJFZ06/YqvvjrY4nanq6ur4/DhwxQUFJzTNHkRaV6bV+Rx9zEtfW9mdwC3AM0/\nbAMoLi7+0+uRI0cycuTIlppLB4lEIqSlHaWh4cQn1WRlZbW0SZMyMzPp1q1bXGsTudCUlpZSWlp6\nTtu0ZRTKWOCfgO+5+4EW2ukM/Bvq4MGDXHXVNRw82J3jx/OIRDYxe/bz3H333YkuTeSC197DCLcR\nDD84FPvoI3d/oIl2CvBvsP379zNnzr9w4MAhvv/9cU2O4RaRjqdnoYiIhJSehSIiksQU4CIiIaUA\nFxEJKQW4iEhIKcBFREJKAS4iElIKcBGRkFKAi4iElAJcRCSkFOAiIiGlABcRCSkFuIhISCnARURC\nSgEuIhJSCnARkZBSgIuIhJQCXEQkpBTgIiIhpQAXEQkpBbiISEgpwEVEQkoBLiISUgpwEZGQUoCL\niISUAlxEJKQU4CIiIaUAFxEJKQW4iEhInXeAm9kzZvaJmX1sZu+aWY94FiYiIi1ryxn4LHcf5O7X\nACuAp+JUU6iUlpYmuoR2lcz9S+a+gfp3ITjvAHf3Iye9zQWibS8nfJL9lyiZ+5fMfQP170KQ1paN\nzWwG8LdAFTAyHgWJiEjrtHgGbmarzeyzJv7dCuDu0929D/Br4OGOKFhERALm7m3fiVkfYKW7X93E\nd20/gIjIBcjdraXvz/sSipkNcPdtsbfjgd+dTwEiInJ+zvsM3MwWA39GcPNyB/B37l4Rv9JERKQl\ncbmEIiIiHa9DZmIm86QfM3vBzH4X698SM/t2omuKJzO7zcw+N7NGMxuc6HrixczGmtkWM9tmZj9L\ndD3xZGb/YWZ7zeyzRNfSHsyst5l9EPu9/I2Z/TTRNcWLmWWZ2QYz2xzrW3GL7TviDNzMOp0YN25m\nDwNXuPv97X7gDmBmY4D33T1qZs8BuPtjCS4rbszsMoLLZL8EHnX3TQkuqc3MLBX4PXADsBvYCEx2\n9ybv44SNmf0lUA282tTAgrAzs+5Ad3ffbGa5QBnwgyT6/4u4+1EzSwP+G5ji7huaatshZ+DJPOnH\n3Ve7+4n+bAB6JbKeeHP3Le6+NdF1xNl1wBfuvsPdjwOvEdyITwru/iFQmeg62ou773H3zbHX1QQD\nKC5KbFXx4+5HYy8zgHRayMsOe5iVmc0ws3LgRyTvtPu7gLcTXYScVU/gjye93xX7TELGzPoC1xCc\nPCUFM0sxs83AXuA9d9/YXNu4BXgyT/o5W99ibaYD9e5eksBSz0tr+pdkdOc+CcQunywmuMRQneh6\n4sXdo+7+5wR/zQ81syuba9umqfSnHXRMK5uWACuB4ngdu72drW9mdgdwCzC6QwqKs3P4v0sWu4He\nJ73vTXAWLiFhZunAG8B/uvvSRNfTHty9ysw+AMYCnzfVpqNGoQw46W2zk37CyMzGAtOA8e5+LNH1\ntLNkmZT1v8AAM+trZhlAEbA8wTVJK5mZAfOA37r7i4muJ57MrKuZ5cVeZwNjaCEvO2oUStJO+jGz\nbQQ3Gw7FPvrI3R9IYElxZWYTgNlAV4KHln3s7jcntqq2M7ObgReBVGCeu89McElxY2YLge8BXYB9\nwFPuPj+xVcWPmQ0H/gv4lK8vhz3u7qsSV1V8mNnVwK8Ifi9TgEXu/myz7TWRR0QknLSkmohISCnA\nRURCSgEuIhJSCnARkZBSgIuIhJQCXEQkpBTgIiIhpQAXEQmp/wfdm5XIC0/CUgAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x136925b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import MiniBatchKMeans\n",
    "y_pred = MiniBatchKMeans(n_clusters=4, batch_size = 200, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5921.4549600014598"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metrics.calinski_harabaz_score(X, y_pred)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ioeKc2XCGuc2/oUK3cmwfvwM0cFhMGBwulGZgvt1FTW7Wzfbu3RuLxcLM2bP/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3kHmAaUR+XkRaFqgOq1WvQOB7Eol6gJpRSTUXHAWBTJxYgit1jS5vgClVt4Oe2aGkD2tHsLKufQ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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1201ecd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots_adjust(left=.02, right=.98, bottom=.096, top=.96, wspace=.05,\n",
    "                    hspace=.01)\n",
    "plt.subplot(2,2,1)\n",
    "y_pred = MiniBatchKMeans(n_clusters=2, batch_size = 200, random_state=9).fit_predict(X)\n",
    "score2= metrics.calinski_harabaz_score(X, y_pred)  \n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.text(.99, .01, ('k=%d, score: %.2f' % (2,score2)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "\n",
    "\n",
    "plt.subplot(2,2,2)\n",
    "y_pred = MiniBatchKMeans(n_clusters=3, batch_size = 200, random_state=9).fit_predict(X)\n",
    "score3= metrics.calinski_harabaz_score(X, y_pred)  \n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.text(.99, .01, ('k=%d, score: %.2f' % (3,score3)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "\n",
    "plt.subplot(2,2,3)\n",
    "y_pred = MiniBatchKMeans(n_clusters=4, batch_size = 200, random_state=9).fit_predict(X)\n",
    "score4= metrics.calinski_harabaz_score(X, y_pred)  \n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.text(.99, .01, ('k=%d, score: %.2f' % (4,score4)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "\n",
    "plt.subplot(2,2,4)\n",
    "y_pred = MiniBatchKMeans(n_clusters=5, batch_size = 200, random_state=9).fit_predict(X)\n",
    "score5 = metrics.calinski_harabaz_score(X, y_pred)  \n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.text(.99, .01, ('k=%d, score: %.2f' % (5,score5)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WiEVVRAk6keB4FaSgtjKSVeZA9hTLBiYjlqUyGtm2Zw81axbs9f7P5QZ2g9Bl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\nfWrUqEpQ0AJUc95JSMiv3HVXyc35p8aHH37I6NFfUVj4AG7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77sEX6C5ZKCtMTlgcE5EN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TGNodJbqgXankToWxPe7wQ+Y6BF6w7MmPX5Y1tjhwJ0cEdycnJ4651pHE44RZXosjRr3IgmbduR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\nRYHEMoAWFhYWFgWS/wfC1ertYBFk7AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13367b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots_adjust(left=.02, right=.98, bottom=.096, top=.96, wspace=.1,\n",
    "                    hspace=.1)\n",
    "for index, k in enumerate((2,3,4,5)):\n",
    "    plt.subplot(2,2,index+1)\n",
    "    y_pred = MiniBatchKMeans(n_clusters=k, batch_size = 200, random_state=9).fit_predict(X)\n",
    "    score= metrics.calinski_harabaz_score(X, y_pred)  \n",
    "    plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "    plt.text(.99, .01, ('k=%d, score: %.2f' % (k,score)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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